Deck 9: Linear Momentum and Collisions

ملء الشاشة (f)
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سؤال
A tiger is running in a straight line.If we double both the mass and speed of the tiger,the magnitude of its momentum will increase by what factor?

A) <strong>A tiger is running in a straight line.If we double both the mass and speed of the tiger,the magnitude of its momentum will increase by what factor?</strong> A)   B)2 C)4 D)8 E)16 <div style=padding-top: 35px>
B)2
C)4
D)8
E)16
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سؤال
Which of the following quantities are units of momentum? (There could be more than one correct choice. )

A)N ∙ m
B)kg ∙ s/m
C)kg ∙ m/s
D)N ∙ s
E)kg ∙ m2/s2
سؤال
A rubber ball and a lump of clay have equal mass.They are thrown with equal speed against a wall.The ball bounces back with nearly the same speed with which it hit.The clay sticks to the wall.Which one of these objects experiences the greater momentum change?

A)the ball
B)the clay
C)Both of them experience the same non-zero momentum change.
D)Both of them experience zero momentum change.
سؤال
A small car meshes with a large truck in a head-on collision.Which of the following statements concerning the magnitude of the average force during the collision is correct?

A)The truck experiences the greater average force.
B)The small car experiences the greater average force.
C)The small car and the truck experience the same average force.
D)The force experienced by each one is inversely proportional to its mass.
E)The force experienced by each one is directly proportional to its mass.
سؤال
A small car meshes with a large truck in a head-on collision.Which of the following statements concerning the momentum during the collision are correct? (There could be more than one correct choice. )

A)The momentum of the truck is conserved.
B)The momentum of the car is conserved.
C)The car and the truck must undergo the same change in speed.
D)The momentum of the car and the momentum of the truck are each conserved.
E)The momentum of the car-truck system is conserved,but the momentum of each one separately is not conserved.
سؤال
Identical forces act for the same length of time on two different objects.The magnitude of the change in momentum of the lighter object is

A)smaller than the magnitude of the change in momentum of the larger mass,but not zero.
B)larger than the magnitude of the change in momentum of the larger mass.
C)exactly equal to the magnitude of the change in momentum of the larger mass.
D)zero.
E)There is not enough information to answer the question.
سؤال
A very elastic rubber ball is dropped from a certain height and hits the floor with a downward speed v.Since it is so elastic,the ball bounces back with the same speed v going upward.Which of the following statements about the bounce are correct? (There could be more than one correct choice. )

A)The ball had the same momentum just before and just after the bounce.
B)The magnitude of the ball's momentum was the same just before and just after the bounce.
C)The ball's momentum was conserved during the bounce.
D)None of the above statements are correct.
سؤال
Which of the following quantities are units of impulse? (There could be more than one correct choice. )

A)N ∙ m
B)kg ∙ s/m
C)kg ∙ m/s
D)N ∙ s
E)kg ∙ m2/s2
سؤال
In an inelastic collision involving an isolated system,the final total momentum is

A)exactly the same as the initial momentum.
B)more than the initial momentum.
C)less than the initial momentum.
سؤال
During World War I,Germany used a "Big Bertha" cannon to hurl shells into Paris 30 miles away.This gun also had a very long barrel.What was the reason for using a long barrel in these guns?

A)to exert a larger force on the shells
B)to reduce frictional losses
C)to allow the force of the expanding gases from the gunpowder to act for a longer time
D)to increase the force exerted on the bullet due to the expanding gases from the gunpowder
E)to reduce the force exerted on the bullet due to the expanding gases from the gunpowder
سؤال
You are standing on a skateboard,initially at rest.A friend throws a very heavy ball towards you.You have two choices about what to do with the ball: either catch the ball or deflect it back toward your friend with the same speed as it was originally thrown.Which choice should you make in order to maximize your speed on the skateboard?

A)Catch the ball.
B)Deflect the ball back.
C)Your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.
سؤال
A very light ping-pong ball moving east at a speed of 4 m/s collides with a very heavy stationary bowling ball.The Ping-Pong ball bounces back to the west,and the bowling ball moves very slowly to the east.Which object experiences the greater magnitude impulse during the collision?

A)Neither;both experienced the same magnitude impulse.
B)the Ping-Pong ball
C)the bowling ball
D)It is impossible to tell since the actual mass values are not given.
E)It is impossible to tell since the velocities after the collision are unknown.
سؤال
The momentum of an isolated system is conserved

A)only in inelastic collisions.
B)only in elastic collisions.
C)in both elastic and inelastic collisions.
سؤال
A 5-kg ball collides inelastically head-on with a 10-kg ball,which is initially stationary.Which of the following statements is true? (There could be more than one correct choice. )

A)The magnitude of the change of velocity the 5-kg ball experiences is greater than that of the 10-kg ball.
B)The magnitude of the change of velocity the 5-kg ball experiences is less than that of the 10-kg ball.
C)The magnitude of the change of velocity the 5-kg ball experiences is equal to that of the 10-kg ball.
D)The magnitude of the change of the momentum of the 5-kg ball is equal to the magnitude of the change of momentum of the 10-kg ball.
E)Both balls lose all their momentum since the collision is inelastic.
سؤال
A small car meshes with a large truck in a head-on collision.Which of the following statements concerning the magnitude of the momentum change during the collision is correct? (There could be more than one correct choice. )

A)The truck experiences the greater magnitude momentum change.
B)The small car experiences the greater magnitude momentum change.
C)The small car and the truck experience the same magnitude momentum change.
D)The magnitude of the momentum change experienced by each one is inversely proportional to its mass.
E)The magnitude of the momentum change experienced by each one is directly proportional to its mass.
سؤال
Three cars,car X,car Y,and car Z,begin accelerating from rest at the same time.Car X is more massive than car Y,which is more massive than car Z.The net accelerating force exerted on each car is identical.After 10 seconds,which car has the most amount of momentum?

A)They all have the same amount of momentum.
B)Car X
C)Car Y
D)Car Z
سؤال
Consider two less-than-desirable options.In the first you are driving 30 mph and crash head-on into an identical car also going 30 mph.In the second option you are driving 30 mph and crash head-on into a stationary brick wall.In neither case does your car bounce back from the thing it hits,and the collision time is the same in both cases.Which of these two situations would result in the greater impact force on your car?

A)hitting the other car
B)hitting the brick wall
C)The force would be the same in both cases.
D)None of the above choices are correct.
سؤال
Two friends are standing on opposite ends of a canoe that is initially at rest with respect to a frictionless lake.The person in the front throws a very massive ball toward the back,and the person in the back catches it.After the ball is caught,the canoe is

A)moving backward.
B)stationary.
C)moving forward.
سؤال
A rocket explodes into two fragments,one 25 times heavier than the other.The magnitude of the momentum change of the lighter fragment is

A)25 times as great as the momentum change of the heavier fragment.
B)The same as the momentum change of the heavier fragment.
C)1/25 as great as the momentum change of the heavier fragment.
D)5 times as great as the momentum change of the heavier fragment.
E)1/4 as great as the momentum change of the heavier fragment.
سؤال
In a collision between two unequal masses,which mass receives a greater magnitude impulse?

A)the larger mass
B)the smaller mass
C)They receive equal impulses.
سؤال
If you want to double the momentum of a gas molecule,by what factor must you increase its kinetic energy?

A) <strong>If you want to double the momentum of a gas molecule,by what factor must you increase its kinetic energy?</strong> A)   B)2 C)2   D)4 E)16 <div style=padding-top: 35px>
B)2
C)2 <strong>If you want to double the momentum of a gas molecule,by what factor must you increase its kinetic energy?</strong> A)   B)2 C)2   D)4 E)16 <div style=padding-top: 35px>
D)4
E)16
سؤال
In the figure showing an isolated system,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is <strong>In the figure showing an isolated system,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is  </strong> A)perfectly elastic. B)partially inelastic. C)completely inelastic. D)characterized by an increase in kinetic energy. E)not possible because momentum is not conserved. <div style=padding-top: 35px>

A)perfectly elastic.
B)partially inelastic.
C)completely inelastic.
D)characterized by an increase in kinetic energy.
E)not possible because momentum is not conserved.
سؤال
If a quantity you calculated had units of kg ∙ m/s,what type of quantity could it be? (There could be more than one correct choice. )

A)momentum
B)kinetic energy
C)work
D)impulse
E)force
سؤال
An egg falls from a bird's nest in a tree and feels no effects due to the air.As it falls,

A)only its kinetic energy is conserved.
B)only its momentum is conserved.
C)both its kinetic energy and its momentum are conserved.
D)only its mechanical energy is conserved.
E)both its mechanical energy and its momentum are conserved.
سؤال
Three objects are moving along a straight line as shown in the figure.Taking the positive direction to be to the right,what is the total momentum of this system? <strong>Three objects are moving along a straight line as shown in the figure.Taking the positive direction to be to the right,what is the total momentum of this system?  </strong> A)+106 kg ∙ m/s B)-106 kg ∙ m/s C)+14.0 kg ∙ m/s D)-14.0 kg ∙ m/s E)0.00 kg ∙ m/s <div style=padding-top: 35px>

A)+106 kg ∙ m/s
B)-106 kg ∙ m/s
C)+14.0 kg ∙ m/s
D)-14.0 kg ∙ m/s
E)0.00 kg ∙ m/s
سؤال
A railroad car collides with and sticks to an identical railroad car that is initially at rest.After the collision,the kinetic energy of the system

A)is the same as before.
B)is half as much as before.
C)is one third as much as before.
D)is one fourth as much as before.
E)is one quarter as much as before.
سؤال
In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is <strong>In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is  </strong> A)perfectly elastic. B)partially inelastic. C)completely inelastic. D)characterized by an increase in kinetic energy. E)not possible because momentum is not conserved. <div style=padding-top: 35px>

A)perfectly elastic.
B)partially inelastic.
C)completely inelastic.
D)characterized by an increase in kinetic energy.
E)not possible because momentum is not conserved.
سؤال
Two objects of different mass have equal,non-zero kinetic energies.Which object has the greater magnitude momentum?

A)the heavier object
B)the lighter object
C)They both have the same magnitude momentum.
سؤال
A 2.0-kg ball moving eastward at 3.0 m/s suddenly collides with and sticks to a 4.0-kg ball moving northward at 2.0 m/s.What is the magnitude of the momentum of this system just after the collision?

A)14 kg ∙ m/s
B)2.0 kg ∙ m/s
C)10 kg ∙ m/s
D)6.0 kg ∙ m/s
E)8.0 kg ∙ m/s
سؤال
Two air track carts move along an air track towards each other.Cart A has a mass of 450 g and moves toward the right with a speed of 0.850 m/s.Cart B has a mass of 300 g and moves toward the left with a speed of 1.12 m/s.What is the total momentum of the two-cart system?

A)0.047 kg ∙ m/s toward the right
B)0.719 kg ∙ m/s toward the right
C)0.719 kg ∙ m/s toward the left
D)0.750 kg ∙ m/s toward the right
E)0.750 kg ∙ m/s toward the left
سؤال
A firecracker explodes in midair and breaks up into many fragments.Which of the following statements are true regarding conditions immediately before and immediately after the explosion?
I.The total momentum of the fragments is equal to the original momentum of the firecracker.
II.The total kinetic energy of the fragments is equal to the original kinetic energy of the firecracker.

A)Statement I only
B)Statement II only
C)Both Statement I and Statement II
D)Neither statement is true.
سؤال
Two objects of different masses have momentum of equal,non-zero magnitude.Which object has more kinetic energy?

A)the heavier object
B)the lighter object
C)They both have the same kinetic energy.
سؤال
There must be equal amounts of mass on both sides of the center of mass (or center of gravity)of a system.
سؤال
If you want to double the kinetic energy of a gas molecule,by what factor must you increase its momentum?

A) <strong>If you want to double the kinetic energy of a gas molecule,by what factor must you increase its momentum?</strong> A)   B)2 C)2   D)4 E)16 <div style=padding-top: 35px>
B)2
C)2 <strong>If you want to double the kinetic energy of a gas molecule,by what factor must you increase its momentum?</strong> A)   B)2 C)2   D)4 E)16 <div style=padding-top: 35px>
D)4
E)16
سؤال
A 0.14-kg baseball is dropped from rest from a height of 2.0 m above the ground.What is the magnitude of its momentum just before it hits the ground if we neglect air resistance?

A)0.28 kg ∙ m/s
B)0.88 kg ∙ m/s
C)0.44 kg ∙ m/s
D)0.62 kg ∙ m/s
E)1.4 kg ∙ m/s
سؤال
On a horizontal frictionless air table,a puck runs into an ideal horizontal spring that is fastened to the table.The puck compresses the spring by 15 cm before coming to rest.During the compression process,which quantities are conserved?

A)only the momentum of the puck
B)only the kinetic energy of the puck
C)only the mechanical energy (kinetic plus potential)of the puck
D)the momentum and the mechanical energy of the puck
E)the momentum and the kinetic energy of the puck
سؤال
A rubber ball bounces off of a wall with an initial speed v and reverses its direction so its speed is v right after the bounce.As a result of this bounce,which of the following quantities of the ball are conserved? (There could be more than one correct choice. )

A)the kinetic energy of the ball
B)the momentum of the ball
C)both the momentum and the kinetic energy of the ball
D)None of the above quantities are conserved.
سؤال
In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is <strong>In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is  </strong> A)perfectly elastic. B)partially inelastic. C)completely inelastic. D)characterized by an increase in kinetic energy. E)not possible because momentum is not conserved. <div style=padding-top: 35px>

A)perfectly elastic.
B)partially inelastic.
C)completely inelastic.
D)characterized by an increase in kinetic energy.
E)not possible because momentum is not conserved.
سؤال
A 0.330-kg volleyball is thrown vertically downward with a speed of 0.150 m/s in a place where g = 9.81 m/s2.It takes it 0.0655 s to reach the ground.What is the magnitude of its momentum just before it hits the ground?

A)0.212 kg ∙ m/s
B)0.262 kg ∙ m/s
C)0.163 kg ∙ m/s
D)0.0216 kg ∙ m/s
E)0.0418 kg ∙ m/s
سؤال
In a game of pool,the white cue ball hits the #5 ball and stops,while the #5 ball moves away with the same velocity as the cue ball had originally.Both balls have the same mass.This type of collision is

A)somewhat inelastic.
B)elastic.
C)completely inelastic.
سؤال
A 1200-kg ore cart is rolling at 10.8 m/s across a flat friction-free surface.A crane suddenly drops 858 kg. Of ore vertically into the cart.How fast does the cart move just after being loaded with the ore?

A)6.30 m/s
B)3.80 m/s
C)4.20 m/s
D)5.70 m/s
سؤال
In a police ballistics test,a 10.0-g bullet moving at 300 m/s is fired into a 1.00-kg block at rest.The bullet goes through the block almost instantaneously and emerges with 50.0% of its original speed.What is the speed of the block just after the bullet emerges?

A)1.50 m/s
B)2.97 m/s
C)3.00 m/s
D)273 m/s
سؤال
A 328-kg car moving at 19.1 m/s in the +x direction hits from behind a second car moving at 13.0 M/S. In the same direction.If the second car has a mass of 790kg. And a speed of 15.1 m/s.
Right after the collision,what is the velocity of the first car after this sudden collision?

A)14.0 m/s
B)18.2 m/s
C)24.2 m/s
D)-14.0 m/s
سؤال
Two ice skaters suddenly push off against one another starting from a stationary position.The 45-kg skater acquires a speed of 0.375 m/s relative to the ice.What speed does the 60-kg skater acquire relative to the ice?

A)0.50 m/s
B)0.28 m/s
C)0.38 m/s
D)0.75 m/s
E)0.00 m/s
سؤال
A 100-g ball falls from a window that is 12 m above ground level and experiences no significant air resistance as it falls.What is its momentum when it strikes the ground?

A)3.3 kg ∙ m/s
B)4.8 kg ∙ m/s
C)1.8 kg ∙ m/s
D)1.5 kg ∙ m/s
E)2.4 kg ∙ m/s
سؤال
A super dart of mass 20 g,traveling at 350 m/s,strikes a steel plate at an angle of 30° with the plane of the plate,as shown in the figure.It bounces off the plate at the same angle but at a speed of 320 m/s.What is the magnitude of the impulse that the plate gives to the bullet? <strong>A super dart of mass 20 g,traveling at 350 m/s,strikes a steel plate at an angle of 30° with the plane of the plate,as shown in the figure.It bounces off the plate at the same angle but at a speed of 320 m/s.What is the magnitude of the impulse that the plate gives to the bullet?  </strong> A)0.52 N ∙ s B)4.3 N ∙ s C)300 N ∙ s D)6.7 N ∙ s E)0.30 N ∙ s <div style=padding-top: 35px>

A)0.52 N ∙ s
B)4.3 N ∙ s
C)300 N ∙ s
D)6.7 N ∙ s
E)0.30 N ∙ s
سؤال
A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?

A)19.1 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s <div style=padding-top: 35px> kg∙m/s
B)10.2 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s <div style=padding-top: 35px> kg∙m/s
C)9.55 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s <div style=padding-top: 35px> kg∙m/s
D)12.0 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s <div style=padding-top: 35px> kg∙m/s
E)22.2 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s <div style=padding-top: 35px> kg∙m/s
سؤال
A 1200-kg cannon suddenly fires a 100-kg. Cannonball at 35 m/s. What is the recoil speed of the cannon? Assume that frictional forces are negligible and the cannon is fired horizontally.

A)2.9 m/s
B)35 m/s
C)3.5 m/s
D)3.2 m/s
سؤال
A forklift pushes a 100-kg crate,starting from rest,with a horizontal force of magnitude F.The graph in the figure shows the x component of this force as a function of time.What is the instantaneous velocity of the crate at time t = 10 s? <strong>A forklift pushes a 100-kg crate,starting from rest,with a horizontal force of magnitude F.The graph in the figure shows the x component of this force as a function of time.What is the instantaneous velocity of the crate at time t = 10 s?  </strong> A)25 cm/s B)0.00 cm/s C)75 cm/s D)-25 cm/s E)-75 cm/s <div style=padding-top: 35px>

A)25 cm/s
B)0.00 cm/s
C)75 cm/s
D)-25 cm/s
E)-75 cm/s
سؤال
A 0.10-kg ball,traveling horizontally at 25 m/s,strikes a wall and rebounds at 19 m/s.What is the magnitude of the change in the momentum of the ball during the rebound?

A)1.2 kg ∙ m/s
B)1.8 kg ∙ m/s
C)4.4 kg ∙ m/s
D)5.4 kg ∙ m/s
E)72 kg ∙ m/s
سؤال
Two astronauts,of masses 60 kg and 80 kg,are initially right next to each other and at rest in outer space.They suddenly push each other apart.How far has the heavier astronaut moved when the lighter astronaut has moved 12 m?

A)16 m
B)9.0 m
C)21 m
D)7.0 m
E)12 m
سؤال
A 0.140-kg baseball is dropped and reaches a speed of 1.20 m/s just before it hits the ground and bounces.It rebounds with an upward velocity of 1.00 m/s.What is the change of the ball's momentum during the bounce?

A)0.0280 kg ∙ m/s upwards
B)0.0280 kg ∙ m/s downwards
C)0.308 kg ∙ m/s upwards
D)0.308 kg ∙ m/s downwards
E)0.000 kg ∙ m/s
سؤال
Two astronauts,of masses 60 kg and 80 kg,are initially right next to each other and at rest in outer space.They suddenly push each other apart.What is their separation after the heavier astronaut has moved 12m?

A)9.0 m
B)16 m
C)21 m
D)24 m
E)28 m
سؤال
Astronaut Jennifer's lifeline to her spaceship comes loose and she finds herself stranded,"floating" 100 m from the mothership.She suddenly throws her 2.00-kg wrench at 20 m/s in a direction away from the ship.If she and her spacesuit have a combined mass of 200 kg,how long does it take her to coast back to her spaceship?

A)1000 s
B)750 s
C)500 s
D)250 s
E)2.50 min
سؤال
A golf club exerts an average horizontal force of 1000 N on a 0.045-kg golf ball that is initially at rest on the tee.The club is in contact with the ball for 1.8 ms.What is the speed of the golf ball just as it leaves the tee?

A)30 m/s
B)35 m/s
C)40 m/s
D)45 m/s
E)50 m/s
سؤال
A 14-cm diameter champagne bottle rests on its side on top of a frictionless horizontal table.Suddenly,the cork pops and the bottle slides backward,covering a distance of 22.0 cm, in 0.44 s. If the mass of the bottle is 500 times the mass of the cork,find the distance from the original position that the cork will land on the table.Neglect air resistance and assume that the cork is very small compared to the bottle.

A)3,000 cm
B)60 m
C)85 m
D)8.5 cm
سؤال
The graph in the figure shows the x component F of the net force that acts for 10 s on a 100-kg crate.What is the change in the momentum of the crate during the 10 s that this force acts? <strong>The graph in the figure shows the x component F of the net force that acts for 10 s on a 100-kg crate.What is the change in the momentum of the crate during the 10 s that this force acts?  </strong> A)-100 kg ∙ m/s B)-25 kg ∙ m/s C)75 kg ∙ m/s D)-75 kg ∙ m/s E)25 kg ∙ m/s <div style=padding-top: 35px>

A)-100 kg ∙ m/s
B)-25 kg ∙ m/s
C)75 kg ∙ m/s
D)-75 kg ∙ m/s
E)25 kg ∙ m/s
سؤال
A dinner plate falls vertically to the floor and breaks up into three pieces,which slide horizontally along the floor.Immediately after the impact,a 200-g piece moves along the +x-axis with a speed of 2.00 m/s,a 235-g piece moves along the +y-axis with a speed of 1.50 m/s.The third piece has a mass of 100 g.What is the speed of the third piece?

A)2.51 m/s
B)2.57 m/s
C)3.50 m/s
D)5.33 m/s
E)6.83 m/s
سؤال
A dinner plate falls vertically to the floor and breaks up into three pieces,which slide horizontally along the floor.Immediately after the impact,a 320-g piece moves along the +x-axis with a speed of 2.00 m/s and a 355-g piece moves along the +y-axis with a speed of 1.50 m/s.The third piece has a mass of 100 g.In what direction relative to the +x-axis does the third piece move?

A)216.9° from the +x-axis
B)219.8° from the +x-axis
C)36.9° from the +x-axis
D)39.9° from the +x-axis
E)39.8° from the +x-axis
سؤال
A firecracker breaks up into two pieces,one of which has a mass of 200 g and flies off along the +x-axis with a speed of 82.0 m/s.The second piece has a mass of 300 g and flies off along the +y-axis with a speed of 45.0 m/s.What is the total momentum of the two pieces?

A)361 kg ∙ m/s at 56.3° from the +x-axis
B)93.5 kg ∙ m/s at 28.8° from the +x-axis
C)21.2 kg ∙ m/s at 39.5° from the +x-axis
D)361 kg ∙ m/s at 0.983° from the +x-axis
E)21.2 kg ∙ m/s at 56.3° from the +x-axis
سؤال
A 1000-kg whale swims horizontally to the right at a speed of 6.0 m/s.It suddenly collides directly with a stationary seal of mass 200 kg.The seal grabs onto the whale and holds fast.What is the speed of these two sea creatures just after their collision? You can neglect any drag effects of the water during the collision.

A)0.00 m/s
B)3.0 m/s
C)4.0 m/s
D)5.0 m/s
E)6.0 m/s
سؤال
A 1000-kg whale swims horizontally to the right at a speed of 6.0 m/s.It suddenly collides directly with a stationary seal of mass 200 kg.The seal grabs onto the whale and holds fast.What is the momentum of these two sea creatures just after their collision? You can neglect any drag effects of the water during the collision.

A)0.00 kg ∙ m/s
B)1200 kg ∙ m/s
C)2000 kg ∙ m/s
D)7200 kg ∙ m/s
E)6000 kg ∙ m/s
سؤال
A girl of mass 55 kg throws a ball of mass 0.80 kg against a wall.The ball strikes the wall horizontally with a speed of <strong>A girl of mass 55 kg throws a ball of mass 0.80 kg against a wall.The ball strikes the wall horizontally with a speed of   And it bounces back with this same speed.The ball is in contact with the wall   What is the magnitude of the average force exerted on the wall by the ball?</strong> A)800 N B)400 N C)55,000 N D)27,500 N E)13,750 N <div style=padding-top: 35px>
And it bounces back with this same speed.The ball is in contact with the wall <strong>A girl of mass 55 kg throws a ball of mass 0.80 kg against a wall.The ball strikes the wall horizontally with a speed of   And it bounces back with this same speed.The ball is in contact with the wall   What is the magnitude of the average force exerted on the wall by the ball?</strong> A)800 N B)400 N C)55,000 N D)27,500 N E)13,750 N <div style=padding-top: 35px>
What is the magnitude of the average force exerted on the wall by the ball?

A)800 N
B)400 N
C)55,000 N
D)27,500 N
E)13,750 N
سؤال
A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of <strong>A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of   As shown in the figure.The surface is frictionless and the blocks collide and couple.After the collision,the blocks have a common speed of   What is the magnitude of the impulse on the 34-kg block due to the collision?  </strong> A)32 N ∙ s B)14 N ∙ s C)41 N ∙ s D)57 N ∙ s E)73 N ∙ s <div style=padding-top: 35px>
As shown in the figure.The surface is frictionless and the blocks collide and couple.After the collision,the blocks have a common speed of <strong>A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of   As shown in the figure.The surface is frictionless and the blocks collide and couple.After the collision,the blocks have a common speed of   What is the magnitude of the impulse on the 34-kg block due to the collision?  </strong> A)32 N ∙ s B)14 N ∙ s C)41 N ∙ s D)57 N ∙ s E)73 N ∙ s <div style=padding-top: 35px>
What is the magnitude of the impulse on the 34-kg block due to the collision? <strong>A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of   As shown in the figure.The surface is frictionless and the blocks collide and couple.After the collision,the blocks have a common speed of   What is the magnitude of the impulse on the 34-kg block due to the collision?  </strong> A)32 N ∙ s B)14 N ∙ s C)41 N ∙ s D)57 N ∙ s E)73 N ∙ s <div style=padding-top: 35px>

A)32 N ∙ s
B)14 N ∙ s
C)41 N ∙ s
D)57 N ∙ s
E)73 N ∙ s
سؤال
A fire hose is turned on the door of a burning building in order to knock the door down.This requires a force of 1000 N.If the hose delivers 40 kg of water per second,what is the minimum velocity of the stream needed to knock down the door,assuming the water doesn't bounce back?

A)15 m/s
B)20 m/s
C)25 m/s
D)30 m/s
سؤال
A steady horizontal force lasting for 2.1 s gives a 1.25 kg object an acceleration of 3.2 m/s2 on a frictionless table.What impulse does this force give to the object?

A)26 kg ∙ m/s
B)11 kg ∙ m/s
C)8.4 kg ∙ m/s
D)2.6 kg ∙ m/s
سؤال
Two vehicles approach a right angle intersection and then suddenly collide.After the collision,they become entangled.If their mass ratios were 1:4 and their respective speeds as they approached the intersection were both 13 m/s,find the magnitude and direction of the final velocity of the wreck.

A)11 m/s at 14° with respect to the original direction of the lighter car
B)16 m/s at 76° with respect to the original direction of the lighter car
C)11 m/s at 76° with respect to the original direction of the lighter car
D)16 m/s at 14° with respect to the original direction of the lighter car
سؤال
A block of mass m = 5.6 kg,moving on a frictionless surface with a velocity of vi=6.5m/s. To the right,collides with a block of mass M at rest,as shown in the figure.After the collision,the 5.6-kg block recoils with a velocity of vf= 0.70m/s. To the left. If the blocks are in contact for 0.20 s,what is the magnitude of the average force on the 5.6-kg block,while the two blocks are in contact? <strong>A block of mass m = 5.6 kg,moving on a frictionless surface with a velocity of v<sub>i</sub>=6.5m/s.  To the right,collides with a block of mass M at rest,as shown in the figure.After the collision,the 5.6-kg block recoils with a velocity of v<sub>f</sub>= 0.70m/s.  To the left. If the blocks are in contact for 0.20 s,what is the magnitude of the average force on the 5.6-kg block,while the two blocks are in contact?  </strong> A)202 N B)192 N C)182 N D)0.N E)0 N <div style=padding-top: 35px>

A)202 N
B)192 N
C)182 N
D)0.N
E)0 N
سؤال
A 0.24 kg blob of clay is thrown at a wall with an initial horizontal velocity of 16 m/s. If the clay comes to a stop in 91ms. What is the average horizontal force on the clay due to the wall?

A)42 N
B)26 N
C)35 N
D)51 N
سؤال
A 0.140-kg baseball is thrown with a velocity of 27.1 m/s. It is struck by the bat with an average force of 5000 N,which results in a velocity of 37.0 m/s in the opposite direction from the original velocity.How long were the bat and ball in contact?

A)1.79 × 10-3 s
B)1.28 × 10-2 s
C)3.07 × 10-2 s
D)4.30 × 10-3 s
سؤال
A golf ball of mass 0.050 kg is at rest on the tee.Just after being struck,it has a velocity of 102 m/s.If the club and ball were in contact for <strong>A golf ball of mass 0.050 kg is at rest on the tee.Just after being struck,it has a velocity of 102 m/s.If the club and ball were in contact for   What is the average force exerted on the ball by the club?</strong> A)6.3 kN B)7.1 kN C)5.5 kN D)4.9 kN <div style=padding-top: 35px>
What is the average force exerted on the ball by the club?

A)6.3 kN
B)7.1 kN
C)5.5 kN
D)4.9 kN
سؤال
Calculate the impulse due to a force of <strong>Calculate the impulse due to a force of   That lasts for  </strong> A)6.3 kg∙ m/s B)5.0 kg∙ m/s C)5.7 kg∙ m/s D)6.9 kg∙ m/s <div style=padding-top: 35px>
That lasts for <strong>Calculate the impulse due to a force of   That lasts for  </strong> A)6.3 kg∙ m/s B)5.0 kg∙ m/s C)5.7 kg∙ m/s D)6.9 kg∙ m/s <div style=padding-top: 35px>

A)6.3 kg∙ m/s
B)5.0 kg∙ m/s
C)5.7 kg∙ m/s
D)6.9 kg∙ m/s
سؤال
A 2.0-kg mass moving at 5.0 m/s suddenly collides head-on with a 3.0-kg mass at rest.If the collision is perfectly inelastic,what is the speed of the masses just after the collision?

A)10 m/s
B)2.5 m/s
C)2.0 m/s
D)0 m/s,since the collision is inelastic
سؤال
A 0.140-kg baseball is dropped from rest.It has a speed of 1.20 m/s just before it hits the ground,and it rebounds with an upward speed of 1.00 m/s.The ball is in contact with the ground for 0.0140 s.What is the average force exerted by the ground on the ball during the time of contact?

A)2.00 N upwards
B)2.00 N downwards
C)22.0 N upwards
D)22.0 N downwards
E)0.00 N
سؤال
A batter hits a foul ball.The 0.14-kg baseball that was approaching him at 40 m/s leaves the bat at 30 m/s in a direction perpendicular to the line between the batter and the pitcher.What is the magnitude of the impulse delivered to the baseball?

A)9.8 N ∙ s
B)1.4 N ∙ s
C)3.5 N ∙ s
D)5.6 N ∙ s
E)7.0 N ∙ s
سؤال
A car heading north suddenly collides at an intersection with a truck of the same mass heading east.If they lock together and travel at <strong>A car heading north suddenly collides at an intersection with a truck of the same mass heading east.If they lock together and travel at   At 15° north of east just after the collision,how fast was the car initially traveling?</strong> A)14 m/s B)7 m/s C)28 m/s D)11 m/s <div style=padding-top: 35px>
At 15° north of east just after the collision,how fast was the car initially traveling?

A)14 m/s
B)7 m/s
C)28 m/s
D)11 m/s
سؤال
A 1200-kg car moving at 15.6 m/ s. Suddenly collides with a stationary car of mass 1500 kg. If the two vehicles lock together,what is their combined velocity immediately after the collision?

A)6.9 m/s
B)8.6 m/s
C)12.1 m/s
D)5.5 m/s
سؤال
A 0.140 kg baseball is thrown horizontally with a velocity of 28.9 m/s.It is struck with a constant horizontal force that lasts for 1.85 ms,which results in a velocity of 37.0 m/s in the opposite direction.What was the magnitude of the horizontal force?

A)0.613 kN
B)2.19 kN
C)2.80 kN
D)4.99 kN
سؤال
A puck with a mass m1 = 50 g moving at 1.0 m/s approaches a stationary puck with a mass m2 = 100 g on a frictionless air table,and they undergo a sudden two-dimensional elastic collision.After the collision,both pucks have identical speeds,but travel in different directions.What is the angle between the original and final paths of puck with mass m1?

A)30°
B)60°
C)90°
D)120°
E)150°
سؤال
A very small 51-g steel ball is released from rest and falls vertically onto a steel plate.The ball strikes the plate and is in contact with it for 0.50 ms.The ball rebounds elastically and returns to its original height.The total time interval for a round trip is 3.00 s.What is the magnitude of the average force exerted on the ball by the plate during contact with the plate?

A)3,000 N
B)1,500 N
C)2,490 N
D)2,000 N
E)3,500 N
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Deck 9: Linear Momentum and Collisions
1
A tiger is running in a straight line.If we double both the mass and speed of the tiger,the magnitude of its momentum will increase by what factor?

A) <strong>A tiger is running in a straight line.If we double both the mass and speed of the tiger,the magnitude of its momentum will increase by what factor?</strong> A)   B)2 C)4 D)8 E)16
B)2
C)4
D)8
E)16
4
2
Which of the following quantities are units of momentum? (There could be more than one correct choice. )

A)N ∙ m
B)kg ∙ s/m
C)kg ∙ m/s
D)N ∙ s
E)kg ∙ m2/s2
kg ∙ m/s
N ∙ s
3
A rubber ball and a lump of clay have equal mass.They are thrown with equal speed against a wall.The ball bounces back with nearly the same speed with which it hit.The clay sticks to the wall.Which one of these objects experiences the greater momentum change?

A)the ball
B)the clay
C)Both of them experience the same non-zero momentum change.
D)Both of them experience zero momentum change.
the ball
4
A small car meshes with a large truck in a head-on collision.Which of the following statements concerning the magnitude of the average force during the collision is correct?

A)The truck experiences the greater average force.
B)The small car experiences the greater average force.
C)The small car and the truck experience the same average force.
D)The force experienced by each one is inversely proportional to its mass.
E)The force experienced by each one is directly proportional to its mass.
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5
A small car meshes with a large truck in a head-on collision.Which of the following statements concerning the momentum during the collision are correct? (There could be more than one correct choice. )

A)The momentum of the truck is conserved.
B)The momentum of the car is conserved.
C)The car and the truck must undergo the same change in speed.
D)The momentum of the car and the momentum of the truck are each conserved.
E)The momentum of the car-truck system is conserved,but the momentum of each one separately is not conserved.
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6
Identical forces act for the same length of time on two different objects.The magnitude of the change in momentum of the lighter object is

A)smaller than the magnitude of the change in momentum of the larger mass,but not zero.
B)larger than the magnitude of the change in momentum of the larger mass.
C)exactly equal to the magnitude of the change in momentum of the larger mass.
D)zero.
E)There is not enough information to answer the question.
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7
A very elastic rubber ball is dropped from a certain height and hits the floor with a downward speed v.Since it is so elastic,the ball bounces back with the same speed v going upward.Which of the following statements about the bounce are correct? (There could be more than one correct choice. )

A)The ball had the same momentum just before and just after the bounce.
B)The magnitude of the ball's momentum was the same just before and just after the bounce.
C)The ball's momentum was conserved during the bounce.
D)None of the above statements are correct.
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8
Which of the following quantities are units of impulse? (There could be more than one correct choice. )

A)N ∙ m
B)kg ∙ s/m
C)kg ∙ m/s
D)N ∙ s
E)kg ∙ m2/s2
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9
In an inelastic collision involving an isolated system,the final total momentum is

A)exactly the same as the initial momentum.
B)more than the initial momentum.
C)less than the initial momentum.
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10
During World War I,Germany used a "Big Bertha" cannon to hurl shells into Paris 30 miles away.This gun also had a very long barrel.What was the reason for using a long barrel in these guns?

A)to exert a larger force on the shells
B)to reduce frictional losses
C)to allow the force of the expanding gases from the gunpowder to act for a longer time
D)to increase the force exerted on the bullet due to the expanding gases from the gunpowder
E)to reduce the force exerted on the bullet due to the expanding gases from the gunpowder
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11
You are standing on a skateboard,initially at rest.A friend throws a very heavy ball towards you.You have two choices about what to do with the ball: either catch the ball or deflect it back toward your friend with the same speed as it was originally thrown.Which choice should you make in order to maximize your speed on the skateboard?

A)Catch the ball.
B)Deflect the ball back.
C)Your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.
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12
A very light ping-pong ball moving east at a speed of 4 m/s collides with a very heavy stationary bowling ball.The Ping-Pong ball bounces back to the west,and the bowling ball moves very slowly to the east.Which object experiences the greater magnitude impulse during the collision?

A)Neither;both experienced the same magnitude impulse.
B)the Ping-Pong ball
C)the bowling ball
D)It is impossible to tell since the actual mass values are not given.
E)It is impossible to tell since the velocities after the collision are unknown.
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13
The momentum of an isolated system is conserved

A)only in inelastic collisions.
B)only in elastic collisions.
C)in both elastic and inelastic collisions.
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14
A 5-kg ball collides inelastically head-on with a 10-kg ball,which is initially stationary.Which of the following statements is true? (There could be more than one correct choice. )

A)The magnitude of the change of velocity the 5-kg ball experiences is greater than that of the 10-kg ball.
B)The magnitude of the change of velocity the 5-kg ball experiences is less than that of the 10-kg ball.
C)The magnitude of the change of velocity the 5-kg ball experiences is equal to that of the 10-kg ball.
D)The magnitude of the change of the momentum of the 5-kg ball is equal to the magnitude of the change of momentum of the 10-kg ball.
E)Both balls lose all their momentum since the collision is inelastic.
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15
A small car meshes with a large truck in a head-on collision.Which of the following statements concerning the magnitude of the momentum change during the collision is correct? (There could be more than one correct choice. )

A)The truck experiences the greater magnitude momentum change.
B)The small car experiences the greater magnitude momentum change.
C)The small car and the truck experience the same magnitude momentum change.
D)The magnitude of the momentum change experienced by each one is inversely proportional to its mass.
E)The magnitude of the momentum change experienced by each one is directly proportional to its mass.
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16
Three cars,car X,car Y,and car Z,begin accelerating from rest at the same time.Car X is more massive than car Y,which is more massive than car Z.The net accelerating force exerted on each car is identical.After 10 seconds,which car has the most amount of momentum?

A)They all have the same amount of momentum.
B)Car X
C)Car Y
D)Car Z
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17
Consider two less-than-desirable options.In the first you are driving 30 mph and crash head-on into an identical car also going 30 mph.In the second option you are driving 30 mph and crash head-on into a stationary brick wall.In neither case does your car bounce back from the thing it hits,and the collision time is the same in both cases.Which of these two situations would result in the greater impact force on your car?

A)hitting the other car
B)hitting the brick wall
C)The force would be the same in both cases.
D)None of the above choices are correct.
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18
Two friends are standing on opposite ends of a canoe that is initially at rest with respect to a frictionless lake.The person in the front throws a very massive ball toward the back,and the person in the back catches it.After the ball is caught,the canoe is

A)moving backward.
B)stationary.
C)moving forward.
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19
A rocket explodes into two fragments,one 25 times heavier than the other.The magnitude of the momentum change of the lighter fragment is

A)25 times as great as the momentum change of the heavier fragment.
B)The same as the momentum change of the heavier fragment.
C)1/25 as great as the momentum change of the heavier fragment.
D)5 times as great as the momentum change of the heavier fragment.
E)1/4 as great as the momentum change of the heavier fragment.
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20
In a collision between two unequal masses,which mass receives a greater magnitude impulse?

A)the larger mass
B)the smaller mass
C)They receive equal impulses.
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21
If you want to double the momentum of a gas molecule,by what factor must you increase its kinetic energy?

A) <strong>If you want to double the momentum of a gas molecule,by what factor must you increase its kinetic energy?</strong> A)   B)2 C)2   D)4 E)16
B)2
C)2 <strong>If you want to double the momentum of a gas molecule,by what factor must you increase its kinetic energy?</strong> A)   B)2 C)2   D)4 E)16
D)4
E)16
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22
In the figure showing an isolated system,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is <strong>In the figure showing an isolated system,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is  </strong> A)perfectly elastic. B)partially inelastic. C)completely inelastic. D)characterized by an increase in kinetic energy. E)not possible because momentum is not conserved.

A)perfectly elastic.
B)partially inelastic.
C)completely inelastic.
D)characterized by an increase in kinetic energy.
E)not possible because momentum is not conserved.
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23
If a quantity you calculated had units of kg ∙ m/s,what type of quantity could it be? (There could be more than one correct choice. )

A)momentum
B)kinetic energy
C)work
D)impulse
E)force
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24
An egg falls from a bird's nest in a tree and feels no effects due to the air.As it falls,

A)only its kinetic energy is conserved.
B)only its momentum is conserved.
C)both its kinetic energy and its momentum are conserved.
D)only its mechanical energy is conserved.
E)both its mechanical energy and its momentum are conserved.
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25
Three objects are moving along a straight line as shown in the figure.Taking the positive direction to be to the right,what is the total momentum of this system? <strong>Three objects are moving along a straight line as shown in the figure.Taking the positive direction to be to the right,what is the total momentum of this system?  </strong> A)+106 kg ∙ m/s B)-106 kg ∙ m/s C)+14.0 kg ∙ m/s D)-14.0 kg ∙ m/s E)0.00 kg ∙ m/s

A)+106 kg ∙ m/s
B)-106 kg ∙ m/s
C)+14.0 kg ∙ m/s
D)-14.0 kg ∙ m/s
E)0.00 kg ∙ m/s
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26
A railroad car collides with and sticks to an identical railroad car that is initially at rest.After the collision,the kinetic energy of the system

A)is the same as before.
B)is half as much as before.
C)is one third as much as before.
D)is one fourth as much as before.
E)is one quarter as much as before.
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27
In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is <strong>In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is  </strong> A)perfectly elastic. B)partially inelastic. C)completely inelastic. D)characterized by an increase in kinetic energy. E)not possible because momentum is not conserved.

A)perfectly elastic.
B)partially inelastic.
C)completely inelastic.
D)characterized by an increase in kinetic energy.
E)not possible because momentum is not conserved.
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28
Two objects of different mass have equal,non-zero kinetic energies.Which object has the greater magnitude momentum?

A)the heavier object
B)the lighter object
C)They both have the same magnitude momentum.
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29
A 2.0-kg ball moving eastward at 3.0 m/s suddenly collides with and sticks to a 4.0-kg ball moving northward at 2.0 m/s.What is the magnitude of the momentum of this system just after the collision?

A)14 kg ∙ m/s
B)2.0 kg ∙ m/s
C)10 kg ∙ m/s
D)6.0 kg ∙ m/s
E)8.0 kg ∙ m/s
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30
Two air track carts move along an air track towards each other.Cart A has a mass of 450 g and moves toward the right with a speed of 0.850 m/s.Cart B has a mass of 300 g and moves toward the left with a speed of 1.12 m/s.What is the total momentum of the two-cart system?

A)0.047 kg ∙ m/s toward the right
B)0.719 kg ∙ m/s toward the right
C)0.719 kg ∙ m/s toward the left
D)0.750 kg ∙ m/s toward the right
E)0.750 kg ∙ m/s toward the left
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31
A firecracker explodes in midair and breaks up into many fragments.Which of the following statements are true regarding conditions immediately before and immediately after the explosion?
I.The total momentum of the fragments is equal to the original momentum of the firecracker.
II.The total kinetic energy of the fragments is equal to the original kinetic energy of the firecracker.

A)Statement I only
B)Statement II only
C)Both Statement I and Statement II
D)Neither statement is true.
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32
Two objects of different masses have momentum of equal,non-zero magnitude.Which object has more kinetic energy?

A)the heavier object
B)the lighter object
C)They both have the same kinetic energy.
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33
There must be equal amounts of mass on both sides of the center of mass (or center of gravity)of a system.
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34
If you want to double the kinetic energy of a gas molecule,by what factor must you increase its momentum?

A) <strong>If you want to double the kinetic energy of a gas molecule,by what factor must you increase its momentum?</strong> A)   B)2 C)2   D)4 E)16
B)2
C)2 <strong>If you want to double the kinetic energy of a gas molecule,by what factor must you increase its momentum?</strong> A)   B)2 C)2   D)4 E)16
D)4
E)16
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35
A 0.14-kg baseball is dropped from rest from a height of 2.0 m above the ground.What is the magnitude of its momentum just before it hits the ground if we neglect air resistance?

A)0.28 kg ∙ m/s
B)0.88 kg ∙ m/s
C)0.44 kg ∙ m/s
D)0.62 kg ∙ m/s
E)1.4 kg ∙ m/s
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36
On a horizontal frictionless air table,a puck runs into an ideal horizontal spring that is fastened to the table.The puck compresses the spring by 15 cm before coming to rest.During the compression process,which quantities are conserved?

A)only the momentum of the puck
B)only the kinetic energy of the puck
C)only the mechanical energy (kinetic plus potential)of the puck
D)the momentum and the mechanical energy of the puck
E)the momentum and the kinetic energy of the puck
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37
A rubber ball bounces off of a wall with an initial speed v and reverses its direction so its speed is v right after the bounce.As a result of this bounce,which of the following quantities of the ball are conserved? (There could be more than one correct choice. )

A)the kinetic energy of the ball
B)the momentum of the ball
C)both the momentum and the kinetic energy of the ball
D)None of the above quantities are conserved.
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38
In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is <strong>In the figure,determine the character of the collision.The masses of the blocks,and the velocities before and after,are shown.The collision is  </strong> A)perfectly elastic. B)partially inelastic. C)completely inelastic. D)characterized by an increase in kinetic energy. E)not possible because momentum is not conserved.

A)perfectly elastic.
B)partially inelastic.
C)completely inelastic.
D)characterized by an increase in kinetic energy.
E)not possible because momentum is not conserved.
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39
A 0.330-kg volleyball is thrown vertically downward with a speed of 0.150 m/s in a place where g = 9.81 m/s2.It takes it 0.0655 s to reach the ground.What is the magnitude of its momentum just before it hits the ground?

A)0.212 kg ∙ m/s
B)0.262 kg ∙ m/s
C)0.163 kg ∙ m/s
D)0.0216 kg ∙ m/s
E)0.0418 kg ∙ m/s
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40
In a game of pool,the white cue ball hits the #5 ball and stops,while the #5 ball moves away with the same velocity as the cue ball had originally.Both balls have the same mass.This type of collision is

A)somewhat inelastic.
B)elastic.
C)completely inelastic.
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41
A 1200-kg ore cart is rolling at 10.8 m/s across a flat friction-free surface.A crane suddenly drops 858 kg. Of ore vertically into the cart.How fast does the cart move just after being loaded with the ore?

A)6.30 m/s
B)3.80 m/s
C)4.20 m/s
D)5.70 m/s
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42
In a police ballistics test,a 10.0-g bullet moving at 300 m/s is fired into a 1.00-kg block at rest.The bullet goes through the block almost instantaneously and emerges with 50.0% of its original speed.What is the speed of the block just after the bullet emerges?

A)1.50 m/s
B)2.97 m/s
C)3.00 m/s
D)273 m/s
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43
A 328-kg car moving at 19.1 m/s in the +x direction hits from behind a second car moving at 13.0 M/S. In the same direction.If the second car has a mass of 790kg. And a speed of 15.1 m/s.
Right after the collision,what is the velocity of the first car after this sudden collision?

A)14.0 m/s
B)18.2 m/s
C)24.2 m/s
D)-14.0 m/s
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44
Two ice skaters suddenly push off against one another starting from a stationary position.The 45-kg skater acquires a speed of 0.375 m/s relative to the ice.What speed does the 60-kg skater acquire relative to the ice?

A)0.50 m/s
B)0.28 m/s
C)0.38 m/s
D)0.75 m/s
E)0.00 m/s
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45
A 100-g ball falls from a window that is 12 m above ground level and experiences no significant air resistance as it falls.What is its momentum when it strikes the ground?

A)3.3 kg ∙ m/s
B)4.8 kg ∙ m/s
C)1.8 kg ∙ m/s
D)1.5 kg ∙ m/s
E)2.4 kg ∙ m/s
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46
A super dart of mass 20 g,traveling at 350 m/s,strikes a steel plate at an angle of 30° with the plane of the plate,as shown in the figure.It bounces off the plate at the same angle but at a speed of 320 m/s.What is the magnitude of the impulse that the plate gives to the bullet? <strong>A super dart of mass 20 g,traveling at 350 m/s,strikes a steel plate at an angle of 30° with the plane of the plate,as shown in the figure.It bounces off the plate at the same angle but at a speed of 320 m/s.What is the magnitude of the impulse that the plate gives to the bullet?  </strong> A)0.52 N ∙ s B)4.3 N ∙ s C)300 N ∙ s D)6.7 N ∙ s E)0.30 N ∙ s

A)0.52 N ∙ s
B)4.3 N ∙ s
C)300 N ∙ s
D)6.7 N ∙ s
E)0.30 N ∙ s
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47
A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?

A)19.1 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s kg∙m/s
B)10.2 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s kg∙m/s
C)9.55 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s kg∙m/s
D)12.0 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s kg∙m/s
E)22.2 × 1 <strong>A 600-kg car makes a 90° turn.Its speed before the turn is 21.0 m/s and after the turn it is 24.0 m/s.What is the magnitude of the change in the car's momentum during the turn?</strong> A)19.1 × 1   kg∙m/s B)10.2 × 1   kg∙m/s C)9.55 × 1   kg∙m/s D)12.0 × 1   kg∙m/s E)22.2 × 1   kg∙m/s kg∙m/s
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48
A 1200-kg cannon suddenly fires a 100-kg. Cannonball at 35 m/s. What is the recoil speed of the cannon? Assume that frictional forces are negligible and the cannon is fired horizontally.

A)2.9 m/s
B)35 m/s
C)3.5 m/s
D)3.2 m/s
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49
A forklift pushes a 100-kg crate,starting from rest,with a horizontal force of magnitude F.The graph in the figure shows the x component of this force as a function of time.What is the instantaneous velocity of the crate at time t = 10 s? <strong>A forklift pushes a 100-kg crate,starting from rest,with a horizontal force of magnitude F.The graph in the figure shows the x component of this force as a function of time.What is the instantaneous velocity of the crate at time t = 10 s?  </strong> A)25 cm/s B)0.00 cm/s C)75 cm/s D)-25 cm/s E)-75 cm/s

A)25 cm/s
B)0.00 cm/s
C)75 cm/s
D)-25 cm/s
E)-75 cm/s
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50
A 0.10-kg ball,traveling horizontally at 25 m/s,strikes a wall and rebounds at 19 m/s.What is the magnitude of the change in the momentum of the ball during the rebound?

A)1.2 kg ∙ m/s
B)1.8 kg ∙ m/s
C)4.4 kg ∙ m/s
D)5.4 kg ∙ m/s
E)72 kg ∙ m/s
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51
Two astronauts,of masses 60 kg and 80 kg,are initially right next to each other and at rest in outer space.They suddenly push each other apart.How far has the heavier astronaut moved when the lighter astronaut has moved 12 m?

A)16 m
B)9.0 m
C)21 m
D)7.0 m
E)12 m
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52
A 0.140-kg baseball is dropped and reaches a speed of 1.20 m/s just before it hits the ground and bounces.It rebounds with an upward velocity of 1.00 m/s.What is the change of the ball's momentum during the bounce?

A)0.0280 kg ∙ m/s upwards
B)0.0280 kg ∙ m/s downwards
C)0.308 kg ∙ m/s upwards
D)0.308 kg ∙ m/s downwards
E)0.000 kg ∙ m/s
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53
Two astronauts,of masses 60 kg and 80 kg,are initially right next to each other and at rest in outer space.They suddenly push each other apart.What is their separation after the heavier astronaut has moved 12m?

A)9.0 m
B)16 m
C)21 m
D)24 m
E)28 m
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54
Astronaut Jennifer's lifeline to her spaceship comes loose and she finds herself stranded,"floating" 100 m from the mothership.She suddenly throws her 2.00-kg wrench at 20 m/s in a direction away from the ship.If she and her spacesuit have a combined mass of 200 kg,how long does it take her to coast back to her spaceship?

A)1000 s
B)750 s
C)500 s
D)250 s
E)2.50 min
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55
A golf club exerts an average horizontal force of 1000 N on a 0.045-kg golf ball that is initially at rest on the tee.The club is in contact with the ball for 1.8 ms.What is the speed of the golf ball just as it leaves the tee?

A)30 m/s
B)35 m/s
C)40 m/s
D)45 m/s
E)50 m/s
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56
A 14-cm diameter champagne bottle rests on its side on top of a frictionless horizontal table.Suddenly,the cork pops and the bottle slides backward,covering a distance of 22.0 cm, in 0.44 s. If the mass of the bottle is 500 times the mass of the cork,find the distance from the original position that the cork will land on the table.Neglect air resistance and assume that the cork is very small compared to the bottle.

A)3,000 cm
B)60 m
C)85 m
D)8.5 cm
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57
The graph in the figure shows the x component F of the net force that acts for 10 s on a 100-kg crate.What is the change in the momentum of the crate during the 10 s that this force acts? <strong>The graph in the figure shows the x component F of the net force that acts for 10 s on a 100-kg crate.What is the change in the momentum of the crate during the 10 s that this force acts?  </strong> A)-100 kg ∙ m/s B)-25 kg ∙ m/s C)75 kg ∙ m/s D)-75 kg ∙ m/s E)25 kg ∙ m/s

A)-100 kg ∙ m/s
B)-25 kg ∙ m/s
C)75 kg ∙ m/s
D)-75 kg ∙ m/s
E)25 kg ∙ m/s
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58
A dinner plate falls vertically to the floor and breaks up into three pieces,which slide horizontally along the floor.Immediately after the impact,a 200-g piece moves along the +x-axis with a speed of 2.00 m/s,a 235-g piece moves along the +y-axis with a speed of 1.50 m/s.The third piece has a mass of 100 g.What is the speed of the third piece?

A)2.51 m/s
B)2.57 m/s
C)3.50 m/s
D)5.33 m/s
E)6.83 m/s
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59
A dinner plate falls vertically to the floor and breaks up into three pieces,which slide horizontally along the floor.Immediately after the impact,a 320-g piece moves along the +x-axis with a speed of 2.00 m/s and a 355-g piece moves along the +y-axis with a speed of 1.50 m/s.The third piece has a mass of 100 g.In what direction relative to the +x-axis does the third piece move?

A)216.9° from the +x-axis
B)219.8° from the +x-axis
C)36.9° from the +x-axis
D)39.9° from the +x-axis
E)39.8° from the +x-axis
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60
A firecracker breaks up into two pieces,one of which has a mass of 200 g and flies off along the +x-axis with a speed of 82.0 m/s.The second piece has a mass of 300 g and flies off along the +y-axis with a speed of 45.0 m/s.What is the total momentum of the two pieces?

A)361 kg ∙ m/s at 56.3° from the +x-axis
B)93.5 kg ∙ m/s at 28.8° from the +x-axis
C)21.2 kg ∙ m/s at 39.5° from the +x-axis
D)361 kg ∙ m/s at 0.983° from the +x-axis
E)21.2 kg ∙ m/s at 56.3° from the +x-axis
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61
A 1000-kg whale swims horizontally to the right at a speed of 6.0 m/s.It suddenly collides directly with a stationary seal of mass 200 kg.The seal grabs onto the whale and holds fast.What is the speed of these two sea creatures just after their collision? You can neglect any drag effects of the water during the collision.

A)0.00 m/s
B)3.0 m/s
C)4.0 m/s
D)5.0 m/s
E)6.0 m/s
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62
A 1000-kg whale swims horizontally to the right at a speed of 6.0 m/s.It suddenly collides directly with a stationary seal of mass 200 kg.The seal grabs onto the whale and holds fast.What is the momentum of these two sea creatures just after their collision? You can neglect any drag effects of the water during the collision.

A)0.00 kg ∙ m/s
B)1200 kg ∙ m/s
C)2000 kg ∙ m/s
D)7200 kg ∙ m/s
E)6000 kg ∙ m/s
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63
A girl of mass 55 kg throws a ball of mass 0.80 kg against a wall.The ball strikes the wall horizontally with a speed of <strong>A girl of mass 55 kg throws a ball of mass 0.80 kg against a wall.The ball strikes the wall horizontally with a speed of   And it bounces back with this same speed.The ball is in contact with the wall   What is the magnitude of the average force exerted on the wall by the ball?</strong> A)800 N B)400 N C)55,000 N D)27,500 N E)13,750 N
And it bounces back with this same speed.The ball is in contact with the wall <strong>A girl of mass 55 kg throws a ball of mass 0.80 kg against a wall.The ball strikes the wall horizontally with a speed of   And it bounces back with this same speed.The ball is in contact with the wall   What is the magnitude of the average force exerted on the wall by the ball?</strong> A)800 N B)400 N C)55,000 N D)27,500 N E)13,750 N
What is the magnitude of the average force exerted on the wall by the ball?

A)800 N
B)400 N
C)55,000 N
D)27,500 N
E)13,750 N
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64
A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of <strong>A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of   As shown in the figure.The surface is frictionless and the blocks collide and couple.After the collision,the blocks have a common speed of   What is the magnitude of the impulse on the 34-kg block due to the collision?  </strong> A)32 N ∙ s B)14 N ∙ s C)41 N ∙ s D)57 N ∙ s E)73 N ∙ s
As shown in the figure.The surface is frictionless and the blocks collide and couple.After the collision,the blocks have a common speed of <strong>A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of   As shown in the figure.The surface is frictionless and the blocks collide and couple.After the collision,the blocks have a common speed of   What is the magnitude of the impulse on the 34-kg block due to the collision?  </strong> A)32 N ∙ s B)14 N ∙ s C)41 N ∙ s D)57 N ∙ s E)73 N ∙ s
What is the magnitude of the impulse on the 34-kg block due to the collision? <strong>A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of   As shown in the figure.The surface is frictionless and the blocks collide and couple.After the collision,the blocks have a common speed of   What is the magnitude of the impulse on the 34-kg block due to the collision?  </strong> A)32 N ∙ s B)14 N ∙ s C)41 N ∙ s D)57 N ∙ s E)73 N ∙ s

A)32 N ∙ s
B)14 N ∙ s
C)41 N ∙ s
D)57 N ∙ s
E)73 N ∙ s
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65
A fire hose is turned on the door of a burning building in order to knock the door down.This requires a force of 1000 N.If the hose delivers 40 kg of water per second,what is the minimum velocity of the stream needed to knock down the door,assuming the water doesn't bounce back?

A)15 m/s
B)20 m/s
C)25 m/s
D)30 m/s
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66
A steady horizontal force lasting for 2.1 s gives a 1.25 kg object an acceleration of 3.2 m/s2 on a frictionless table.What impulse does this force give to the object?

A)26 kg ∙ m/s
B)11 kg ∙ m/s
C)8.4 kg ∙ m/s
D)2.6 kg ∙ m/s
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67
Two vehicles approach a right angle intersection and then suddenly collide.After the collision,they become entangled.If their mass ratios were 1:4 and their respective speeds as they approached the intersection were both 13 m/s,find the magnitude and direction of the final velocity of the wreck.

A)11 m/s at 14° with respect to the original direction of the lighter car
B)16 m/s at 76° with respect to the original direction of the lighter car
C)11 m/s at 76° with respect to the original direction of the lighter car
D)16 m/s at 14° with respect to the original direction of the lighter car
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68
A block of mass m = 5.6 kg,moving on a frictionless surface with a velocity of vi=6.5m/s. To the right,collides with a block of mass M at rest,as shown in the figure.After the collision,the 5.6-kg block recoils with a velocity of vf= 0.70m/s. To the left. If the blocks are in contact for 0.20 s,what is the magnitude of the average force on the 5.6-kg block,while the two blocks are in contact? <strong>A block of mass m = 5.6 kg,moving on a frictionless surface with a velocity of v<sub>i</sub>=6.5m/s.  To the right,collides with a block of mass M at rest,as shown in the figure.After the collision,the 5.6-kg block recoils with a velocity of v<sub>f</sub>= 0.70m/s.  To the left. If the blocks are in contact for 0.20 s,what is the magnitude of the average force on the 5.6-kg block,while the two blocks are in contact?  </strong> A)202 N B)192 N C)182 N D)0.N E)0 N

A)202 N
B)192 N
C)182 N
D)0.N
E)0 N
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69
A 0.24 kg blob of clay is thrown at a wall with an initial horizontal velocity of 16 m/s. If the clay comes to a stop in 91ms. What is the average horizontal force on the clay due to the wall?

A)42 N
B)26 N
C)35 N
D)51 N
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70
A 0.140-kg baseball is thrown with a velocity of 27.1 m/s. It is struck by the bat with an average force of 5000 N,which results in a velocity of 37.0 m/s in the opposite direction from the original velocity.How long were the bat and ball in contact?

A)1.79 × 10-3 s
B)1.28 × 10-2 s
C)3.07 × 10-2 s
D)4.30 × 10-3 s
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71
A golf ball of mass 0.050 kg is at rest on the tee.Just after being struck,it has a velocity of 102 m/s.If the club and ball were in contact for <strong>A golf ball of mass 0.050 kg is at rest on the tee.Just after being struck,it has a velocity of 102 m/s.If the club and ball were in contact for   What is the average force exerted on the ball by the club?</strong> A)6.3 kN B)7.1 kN C)5.5 kN D)4.9 kN
What is the average force exerted on the ball by the club?

A)6.3 kN
B)7.1 kN
C)5.5 kN
D)4.9 kN
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72
Calculate the impulse due to a force of <strong>Calculate the impulse due to a force of   That lasts for  </strong> A)6.3 kg∙ m/s B)5.0 kg∙ m/s C)5.7 kg∙ m/s D)6.9 kg∙ m/s
That lasts for <strong>Calculate the impulse due to a force of   That lasts for  </strong> A)6.3 kg∙ m/s B)5.0 kg∙ m/s C)5.7 kg∙ m/s D)6.9 kg∙ m/s

A)6.3 kg∙ m/s
B)5.0 kg∙ m/s
C)5.7 kg∙ m/s
D)6.9 kg∙ m/s
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73
A 2.0-kg mass moving at 5.0 m/s suddenly collides head-on with a 3.0-kg mass at rest.If the collision is perfectly inelastic,what is the speed of the masses just after the collision?

A)10 m/s
B)2.5 m/s
C)2.0 m/s
D)0 m/s,since the collision is inelastic
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74
A 0.140-kg baseball is dropped from rest.It has a speed of 1.20 m/s just before it hits the ground,and it rebounds with an upward speed of 1.00 m/s.The ball is in contact with the ground for 0.0140 s.What is the average force exerted by the ground on the ball during the time of contact?

A)2.00 N upwards
B)2.00 N downwards
C)22.0 N upwards
D)22.0 N downwards
E)0.00 N
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75
A batter hits a foul ball.The 0.14-kg baseball that was approaching him at 40 m/s leaves the bat at 30 m/s in a direction perpendicular to the line between the batter and the pitcher.What is the magnitude of the impulse delivered to the baseball?

A)9.8 N ∙ s
B)1.4 N ∙ s
C)3.5 N ∙ s
D)5.6 N ∙ s
E)7.0 N ∙ s
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76
A car heading north suddenly collides at an intersection with a truck of the same mass heading east.If they lock together and travel at <strong>A car heading north suddenly collides at an intersection with a truck of the same mass heading east.If they lock together and travel at   At 15° north of east just after the collision,how fast was the car initially traveling?</strong> A)14 m/s B)7 m/s C)28 m/s D)11 m/s
At 15° north of east just after the collision,how fast was the car initially traveling?

A)14 m/s
B)7 m/s
C)28 m/s
D)11 m/s
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77
A 1200-kg car moving at 15.6 m/ s. Suddenly collides with a stationary car of mass 1500 kg. If the two vehicles lock together,what is their combined velocity immediately after the collision?

A)6.9 m/s
B)8.6 m/s
C)12.1 m/s
D)5.5 m/s
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78
A 0.140 kg baseball is thrown horizontally with a velocity of 28.9 m/s.It is struck with a constant horizontal force that lasts for 1.85 ms,which results in a velocity of 37.0 m/s in the opposite direction.What was the magnitude of the horizontal force?

A)0.613 kN
B)2.19 kN
C)2.80 kN
D)4.99 kN
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79
A puck with a mass m1 = 50 g moving at 1.0 m/s approaches a stationary puck with a mass m2 = 100 g on a frictionless air table,and they undergo a sudden two-dimensional elastic collision.After the collision,both pucks have identical speeds,but travel in different directions.What is the angle between the original and final paths of puck with mass m1?

A)30°
B)60°
C)90°
D)120°
E)150°
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80
A very small 51-g steel ball is released from rest and falls vertically onto a steel plate.The ball strikes the plate and is in contact with it for 0.50 ms.The ball rebounds elastically and returns to its original height.The total time interval for a round trip is 3.00 s.What is the magnitude of the average force exerted on the ball by the plate during contact with the plate?

A)3,000 N
B)1,500 N
C)2,490 N
D)2,000 N
E)3,500 N
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