Question 1

A 200-N crate rests on a ramp; the maximum angle just before it slips is 21 $\degree$ with the horizontal. What is the coefficient of static friction between crate and ramp surfaces?

Accepted Answer

The coefficient of static friction (μ) is equal to the tangent of the angle of repose (θ), which is the maximum angle just before the object starts to slip. Therefore, μ = tan(21°) ≈ 0.38.

Question 2

A 100-kg box is placed on a ramp. As one end of the ramp is raised, the box begins to move downward just as the angle of inclination reaches 25 $\degree$. What is the coefficient of static friction between box and ramp?

Accepted Answer

The coefficient of static friction is equal to the tangent of the angle of inclination at which the box begins to slide. Therefore, μ = tan(25°) ≈ 0.47.

Question 3

A 200-N block, on a 30 $\degree$ incline, is being held motionless by friction. The coefficient of static friction between the block and the plane is 0.60. The force due to friction is:

Accepted Answer

B

Question 4

The coefficient of static friction between the tires of a car and the street is µ_s = 0.58. Of the following, what is the steepest inclination angle of a street on which a car can be parked (with wheels locked) without slipping?

Accepted Answer

The answer of The coefficient of static friction between the...

Question 5

A box of mass m is placed on an incline with angle of inclination  . The box does not slide. The magnitude of the frictional force in this case is:

Accepted Answer

The answer of A box of mass m is placed...

Question 6

A 500-N tightrope walker stands at the center of the rope such that each half of the rope makes an angle of 15.0 $\degree$ with the horizontal. What is the tension in the rope?

Accepted Answer

The answer of A 500-N tightrope walker stands at the...

Question 7

Five boxes, each having weight 100 N, are stacked up. The bottom box is the fifth from the top. What is the magnitude of the normal force upward exerted by the third box from the top on the second box from the top?

Accepted Answer

The answer of Five boxes, each having weight 100 N,...

Question 8

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 39.2 m/s at an initial angle of 30.0 $\degree$ with respect to the horizontal. If it is in its trajectory for a total of 4.00 s before being caught by the third baseman at an equal shoulder-height level, what is the ball's net vertical displacement during its 4.00-s trajectory?

Accepted Answer

The ball is caught at the same height from which it was thrown, so the net vertical displacement is zero.

Question 9

A projectile is fired over a horizontal surface at an angle of elevation of 70°. Neglecting air resistance, what are possible angles in flight between the acceleration vector and the velocity vector?

Accepted Answer

The answer of A projectile is fired over a horizontal...

Question 10

A 25-g traffic light hangs midway on a cable between two poles 40 meters apart. If the sag in the cable is 0.40 meters, what is the tension in each side of the cable?

Accepted Answer

The answer of A 25-g traffic light hangs midway on...

Question 11

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 39.2 m/s at an initial angle of 30.0 $\degree$ with respect to the horizontal. What is the maximum vertical displacement that the ball reaches during its trajectory?

Accepted Answer

The maximum vertical displacement can be found using the formula: $ h = \frac{v^2 \sin^2(\theta)}{2g} $, where $ v = 39.2 \, \text{m/s} $, $ \theta = 30^\circ $, and $ g = 9.8 \, \text{m/s}^2 $. Plugging in the values, $ h = \frac{(39.2)^2 \times \sin^2(30^\circ)}{2 \times 9.8} = 19.6 \, \text{m} $.

Question 12

A 4000-N weight is suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T₁. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T₂. Find T_2.

Accepted Answer

To find T₂, resolve the forces into horizontal and vertical components. The vertical component of T₂ must balance the 4000 N weight. Using trigonometry, T₂sin(37°) = 4000 N. Solving for T₂ gives T₂ = 4000 N / sin(37°) ≈ 6650 N.

Question 13

A sled is on a horizontal surface and a rope with tension T is pulling on it at an angle  above the horizontal. The sled had mass M and does not move due to the frictional force. In this case the coefficient of friction is  . In terms of the variables given and g, what is the magnitude of the frictional force in this case?

Accepted Answer

The answer of A sled is on a horizontal surface...

Question 14

John throws a baseball from the outfield from shoulder height, at an initial velocity of 39.2 m/s at an initial angle of 30.0 $\degree$ with respect to the horizontal. The ball is in its trajectory for a total interval of 4.00 s before the third baseman catches it at an equal shoulder-height level. (Assume air resistance is negligible.) What is the ball's horizontal displacement?

Accepted Answer

The answer of John throws a baseball from the outfield...

Question 15

A trapeze artist, with swing, weighs 700 N; he is momentarily held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical. In such a condition of static equilibrium, what is the horizontal force being applied by the partner?

Accepted Answer

The horizontal force can be found using the component of the weight that acts horizontally. The horizontal force is equal to the weight times the sine of the angle: 700 N * sin(30°) = 350 N. However, the correct calculation should be 700 N * tan(30°) = 404 N.

Question 16

In the terminology "a 500-N block", the "500-N" refers to the block's:

Accepted Answer

The term "500-N" refers to the force of gravity acting on the block, which is its weight. Newtons (N) are units of force, not mass.

Question 17

A sled weighs 100 N. It is held in place on a frictionless 30 $\degree$slope by a rope attached to a stake at the top; the rope is parallel to the slope. What is the normal force acting on the sled?

Accepted Answer

The answer of A sled weighs 100 N. It is...

Question 18

A 4000-N weight is held suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T₁. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T₂. What is the tension T₁?

Accepted Answer

The answer of A 4000-N weight is held suspended in...

Question 19

A 500-N tightrope walker stands at the center of the rope. If the rope can withstand a tension of 1400 N without breaking, what is the minimum angle the rope can make with the horizontal?

Accepted Answer

The tension in the rope is related to the weight of the walker and the angle with the horizontal. Using trigonometry, the minimum angle θ can be found using the equation 2Tsin(θ) = W, where T is the tension and W is the weight. Solving for θ gives the minimum angle.

Question 20

A trapeze artist, with swing, weighs 700 N; he is being held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical. In such a condition of static equilibrium what is the tension in the rope?

Accepted Answer

The answer of A trapeze artist, with swing, weighs 700...

Quiz 4: Forces and Motion in Two and Three Dimensions

A 200-N crate rests on a ramp; the maximum angle just before it slips is 21 $\degree$ with the horizontal. What is the coefficient of static friction between crate and ramp surfaces?

A 100-kg box is placed on a ramp. As one end of the ramp is raised, the box begins to move downward just as the angle of inclination reaches 25 $\degree$ . What is the coefficient of static friction between box and ramp?

A 200-N block, on a 30 $\degree$ incline, is being held motionless by friction. The coefficient of static friction between the block and the plane is 0.60. The force due to friction is:

The coefficient of static friction between the tires of a car and the street is µ_s = 0.58. Of the following, what is the steepest inclination angle of a street on which a car can be parked (with wheels locked) without slipping?

A box of mass m is placed on an incline with angle of inclination . The box does not slide. The magnitude of the frictional force in this case is:

A 500-N tightrope walker stands at the center of the rope such that each half of the rope makes an angle of 15.0 $\degree$ with the horizontal. What is the tension in the rope?

Five boxes, each having weight 100 N, are stacked up. The bottom box is the fifth from the top. What is the magnitude of the normal force upward exerted by the third box from the top on the second box from the top?

A projectile is fired over a horizontal surface at an angle of elevation of 70°. Neglecting air resistance, what are possible angles in flight between the acceleration vector and the velocity vector?

A 25-g traffic light hangs midway on a cable between two poles 40 meters apart. If the sag in the cable is 0.40 meters, what is the tension in each side of the cable?

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 39.2 m/s at an initial angle of 30.0 $\degree$ with respect to the horizontal. What is the maximum vertical displacement that the ball reaches during its trajectory?

A 4000-N weight is suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T₁. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T₂. Find T_2.

A trapeze artist, with swing, weighs 700 N; he is momentarily held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical. In such a condition of static equilibrium, what is the horizontal force being applied by the partner?

In the terminology "a 500-N block", the "500-N" refers to the block's:

A sled weighs 100 N. It is held in place on a frictionless 30 $\degree$ slope by a rope attached to a stake at the top; the rope is parallel to the slope. What is the normal force acting on the sled?

A 4000-N weight is held suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T₁. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T₂. What is the tension T₁?

A 500-N tightrope walker stands at the center of the rope. If the rope can withstand a tension of 1400 N without breaking, what is the minimum angle the rope can make with the horizontal?

A trapeze artist, with swing, weighs 700 N; he is being held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical. In such a condition of static equilibrium what is the tension in the rope?

Quiz 4: Forces and Motion in Two and Three Dimensions

A 200-N crate rests on a ramp; the maximum angle just before it slips is 21 °\degree° with the horizontal. What is the coefficient of static friction between crate and ramp surfaces?

A 100-kg box is placed on a ramp. As one end of the ramp is raised, the box begins to move downward just as the angle of inclination reaches 25 °\degree° . What is the coefficient of static friction between box and ramp?

A 200-N block, on a 30 °\degree° incline, is being held motionless by friction. The coefficient of static friction between the block and the plane is 0.60. The force due to friction is:

The coefficient of static friction between the tires of a car and the street is µs = 0.58. Of the following, what is the steepest inclination angle of a street on which a car can be parked (with wheels locked) without slipping?

A box of mass m is placed on an incline with angle of inclination . The box does not slide. The magnitude of the frictional force in this case is:

A 500-N tightrope walker stands at the center of the rope such that each half of the rope makes an angle of 15.0 °\degree° with the horizontal. What is the tension in the rope?

Five boxes, each having weight 100 N, are stacked up. The bottom box is the fifth from the top. What is the magnitude of the normal force upward exerted by the third box from the top on the second box from the top?

A projectile is fired over a horizontal surface at an angle of elevation of 70°. Neglecting air resistance, what are possible angles in flight between the acceleration vector and the velocity vector?

A 25-g traffic light hangs midway on a cable between two poles 40 meters apart. If the sag in the cable is 0.40 meters, what is the tension in each side of the cable?

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 39.2 m/s at an initial angle of 30.0 °\degree° with respect to the horizontal. What is the maximum vertical displacement that the ball reaches during its trajectory?

A 4000-N weight is suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T1. Cable 2 applies a force upward and to the left at an angle of 37.0 °\degree° to the negative x axis and has a tension T2. Find T2.

A trapeze artist, with swing, weighs 700 N; he is momentarily held to one side by his partner so that the swing ropes make an angle of 30.0 °\degree° with the vertical. In such a condition of static equilibrium, what is the horizontal force being applied by the partner?

In the terminology "a 500-N block", the "500-N" refers to the block's:

A sled weighs 100 N. It is held in place on a frictionless 30 °\degree° slope by a rope attached to a stake at the top; the rope is parallel to the slope. What is the normal force acting on the sled?

A 4000-N weight is held suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T1. Cable 2 applies a force upward and to the left at an angle of 37.0 °\degree° to the negative x axis and has a tension T2. What is the tension T1?

A 500-N tightrope walker stands at the center of the rope. If the rope can withstand a tension of 1400 N without breaking, what is the minimum angle the rope can make with the horizontal?

A trapeze artist, with swing, weighs 700 N; he is being held to one side by his partner so that the swing ropes make an angle of 30.0 °\degree° with the vertical. In such a condition of static equilibrium what is the tension in the rope?

A 200-N crate rests on a ramp; the maximum angle just before it slips is 21 $\degree$ with the horizontal. What is the coefficient of static friction between crate and ramp surfaces?

A 100-kg box is placed on a ramp. As one end of the ramp is raised, the box begins to move downward just as the angle of inclination reaches 25 $\degree$ . What is the coefficient of static friction between box and ramp?

A 200-N block, on a 30 $\degree$ incline, is being held motionless by friction. The coefficient of static friction between the block and the plane is 0.60. The force due to friction is:

The coefficient of static friction between the tires of a car and the street is µ_s = 0.58. Of the following, what is the steepest inclination angle of a street on which a car can be parked (with wheels locked) without slipping?

A 500-N tightrope walker stands at the center of the rope such that each half of the rope makes an angle of 15.0 $\degree$ with the horizontal. What is the tension in the rope?

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 39.2 m/s at an initial angle of 30.0 $\degree$ with respect to the horizontal. What is the maximum vertical displacement that the ball reaches during its trajectory?

A 4000-N weight is suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T₁. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T₂. Find T_2.

A trapeze artist, with swing, weighs 700 N; he is momentarily held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical. In such a condition of static equilibrium, what is the horizontal force being applied by the partner?

A sled weighs 100 N. It is held in place on a frictionless 30 $\degree$ slope by a rope attached to a stake at the top; the rope is parallel to the slope. What is the normal force acting on the sled?

A 4000-N weight is held suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T₁. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T₂. What is the tension T₁?

A trapeze artist, with swing, weighs 700 N; he is being held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical. In such a condition of static equilibrium what is the tension in the rope?