Deck 2: The Laws of Physics Are Universal Newtonian Mechanics

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Question
Do the following statements about the physical world express

-If you push on something, it moves. If you push twice as hard, it moves twice as fast.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
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Question
Do the following statements about the physical world express

-A heavy object falls faster than a light object.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
Question
Do the following statements about the physical world express

-The moon is held in its orbit around the earth by the force of the earth's gravity.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
Question
Do the following statements about the physical world express

-If you push on an object, it moves. After you release it, it gradually comes to rest because friction drains away the force of the initial push.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
Question
Do the following statements about the physical world express

-The speed of a falling object increases as it falls.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
Question
A spaceship with a mass of 20,000 kg20,000 \mathrm{~kg} is traveling in a straight line at a constant speed of 300 km/s300 \mathrm{~km} / \mathrm{s} in deep space. Its rockets engines must be:

A) off
B) firing
Question
A 6kg6-\mathrm{kg} bowling ball moving at 3 m/s3 \mathrm{~m} / \mathrm{s} collides with a 1.4-kg bowling pin at rest. How do the magnitudes of the forces exerted by the collision on each object compare?

A) The force on the pin is larger than the force on the ball.
B)The force on the ball is larger than the force on the pin.
C) Both objects experience the same magnitude of force.
D) The collision exerts no force on the ball.
E) There is no way to tell.
Question
A large car drags a small trailer in such a way that their common speed increases rapidly. Which tugs harder on the other?

A) The car tugs harder on the trailer than vice versa.
B) The trailer tugs harder on the car than vice versa.
C) Both tug equally on each other.
D) The trailer exerts no force on the car at all.
E) There is no way to tell.
Question
A parent pushes a small child on a swing so that the child moves rapidly away while the parent remains at rest. How does the magnitude of the force that the child exerts on the parent compare to the magnitude of the force that the parent exerts on the child?

A) The force on the child is larger in magnitude.
B) The force on the parent is larger in magnitude.
C) These forces have equal magnitudes.
D) The child exerts zero force on the parent.
E)There is no way to tell.
Question
Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:
 <strong>Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:   At what instant(s) of time do the marbles have the same instantaneous velocity?</strong> A) At time  t_{B}  B) At time  t_{G}  C) At both  t_{B}  and  t_{G}  D) Some instant between  t_{C}  and  t_{D}  E) Some instant between  t_{D}  and  t_{E}  F) Roughly time  t_{D}  <div style=padding-top: 35px>
At what instant(s) of time do the marbles have the same instantaneous velocity?

A) At time tBt_{B}
B) At time tGt_{G}
C) At both tBt_{B} and tGt_{G}
D) Some instant between tCt_{C} and tDt_{D}
E) Some instant between tDt_{D} and tEt_{E}
F) Roughly time tDt_{D}
Question
Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:
 <strong>Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:   At what instant(s) of time do the marbles have the same instantaneous velocity?</strong> A) At time  t_{B}  B) At time  t_{G}  C) At both  t_{B}  and  t_{G}  D) Some instant between  t_{C}  and  t_{D}  E) Some instant between  t_{D}  and  t_{E}  F) Roughly time  t_{D}  <div style=padding-top: 35px>
At what instant(s) of time do the marbles have the same instantaneous velocity?

A) At time tBt_{B}
B) At time tGt_{G}
C) At both tBt_{B} and tGt_{G}
D) Some instant between tCt_{C} and tDt_{D}
E) Some instant between tDt_{D} and tEt_{E}
F) Roughly time tDt_{D}
Question
An object travels halfway around a circle at a constant instantaneous speed v|\vec{v}| . What is the magnitude ψ|\vec{\psi}| of its average velocity during this time interval?

A) v|\vec{v}|
B) 1.41v1.41|\vec{v}|
C) 1.57v1.57|\vec{v}|
D) v/1.41|\vec{v}| / 1.41
E) v/1.57|\vec{v}| / 1.57
F) Some other multiple of v|\vec{v}| (specify)
G) We do not have enough information to answer.
Question
An object can have a constant speed and still be accelerating.
Question
An object's acceleration vector always points in the direction that it is moving.
Question
An object can have zero velocity (at an instant) and still be accelerating.
Question
An object's xx -velocity can be positive at the same time that its xx -acceleration is negative.
Question
An object falling vertically at a speed of 20 m/s20 \mathrm{~m} / \mathrm{s} lands in a snowbank and comes to rest 0.5 s0.5 \mathrm{~s} later. The object's average acceleration during this interval is

A) Upward
B) Downward
C) Zero
Question
Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of

-The ball's instantaneous velocity.

A) Upward
B) Downward
C) Zero
D) Other (specify)
Question
Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of

-The ball's instantaneous acceleration.

A) Upward
B) Downward
C) Zero
D) Other (specify)
Question
Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of

-The gravitational force on the ball.

A) Upward
B) Downward
C) Zero
D) Other (specify)
Question
Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of

-The net external force on the ball.

A) Upward
B) Downward
C) Zero
D) Other (specify)
Question
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The moon's velocity.<div style=padding-top: 35px>
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The moon's velocity.
Question
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The moon's acceleration.<div style=padding-top: 35px>
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The moon's acceleration.
Question
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The gravitational force on the moon due to the earth.<div style=padding-top: 35px>
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The gravitational force on the moon due to the earth.
Question
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The net external force on the moon.<div style=padding-top: 35px>
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The net external force on the moon.
Question
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The gravitational force on the earth due to the moon. (To choose a double-letter answer using the letters on the back of the book, point with two fingers to the letter.)<div style=padding-top: 35px>
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The gravitational force on the earth due to the moon. (To choose a double-letter answer using the letters on the back of the book, point with two fingers to the letter.)
Question
Figure N1.6 shows the acceleration for an object moving clockwise around the circle. If the object moves counterclockwise around the circle, its acceleration points outward instead of inward.
Question
An object travels at a constant speed v|\vec{v}| exactly once around a circle of radius rr . The magnitude  <strong>An object travels at a constant speed  |\vec{v}|  exactly once around a circle of radius  r . The magnitude  of the object's average acceleration is:</strong> A)  |\vec{v}|^{2} / r  B) Zero C) Something else (specify) <div style=padding-top: 35px>  of the object's average acceleration is:

A) v2/r|\vec{v}|^{2} / r
B) Zero
C) Something else (specify)
Question
When a baseball pitcher throws a curveball, he or she puts top-spin on the ball. This causes the ball to interact with the passing air in such a way as to make the air push the ball downward perpendicular to the ball's velocity. (This causes the ball to dive sharply as it approaches the plate, making it quite difficult to hit.) We would classify this force as a "lift" force on the ball.
Question
Suppose that a comet goes around the sun in an elliptical orbit such that the comet at the farthest point in its orbit is 3 times as far from the sun as it is when it is at its closest point. How many times stronger is the gravitational force on the comet due to the sun when it is at its closest point than when it is at its farthest?

A) Fg\left|\overrightarrow{F_{g}}\right| is the same at both positions.
B) 3\sqrt{3} times stronger
C) 3 times stronger
D) 9 times stronger
E) 27 times stronger
F) The answer depends on the relative masses of the comet and the sun.
Question
Suppose an object is hanging from the end of a spring. Let the spring's length when the object is hanging at rest be L. Now suppose we pull the object downward until the spring has been stretched a length of 2 L2 \mathrm{~L} . By what factor has the force that the spring is exerting on the object increased?

A) The spring force is the same in both cases.
B) 2\sqrt{2} times stronger
C) 2 times stronger
D) 4 times stronger
E) The answer depends on the spring's relaxed length.
Question
A crate sits on the ground. You push as hard as you can on it, but you cannot move it. At any given time when you are pushing, what is the magnitude of the static friction force exerted on the crate by its contact interaction with the ground compared to the magnitude of your push (which is a normal force)? (Hints: What is the crate's acceleration? Draw a free-body diagram.)

A) FSF<FN\left|\vec{F}_{S F}\right|<\left|\vec{F}_{N}\right|
B) FSF=FN\left|\vec{F}_{S F}\right|=\left|\vec{F}_{N}\right|
C) FSF>FN\left|\vec{F}_{S F}\right|>\left|\vec{F}_{N}\right|
D) FSF=0\left|\vec{F}_{S F}\right|=0 !
E) We do not have enough information to answer.}
Question
A box sits at rest on an inclined plank. How do the magnitudes of the normal force and the gravitational force exerted on the box compare? (Hints: What is the box's acceleration? Draw a free-body diagram!)

A) FN<Fg\left|\vec{F}_{N}\right|<\left|\vec{F}_{g}\right|
B) FN=Fg\left|\vec{F}_{N}\right|=\left|\vec{F}_{g}\right|
C) FN>Fg\left|\vec{F}_{N}\right|>\left|\vec{F}_{g}\right|
D) FN=0\left|\vec{F}_{N}\right|=0 !
E) We do not have enough information to answer.
Question
A boat hits a sandbar and slides some distance before coming to rest. Which of the arrows shown below best represents the direction of the boat's acceleration as it is sliding? (Hint: Draw a motion diagram.)
<strong>A boat hits a sandbar and slides some distance before coming to rest. Which of the arrows shown below best represents the direction of the boat's acceleration as it is sliding? (Hint: Draw a motion diagram.)  </strong> A) A B) B C) C D) D E) E F) F T) Zero <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
F) F
T) Zero
Question
A car moving at a constant speed travels past a valley in the road, as shown below. Which of the arrows shown most closely approximates the direction of the car's acceleration at the instant it is at the position shown? (Hint: Draw a motion diagram.)
<strong>A car moving at a constant speed travels past a valley in the road, as shown below. Which of the arrows shown most closely approximates the direction of the car's acceleration at the instant it is at the position shown? (Hint: Draw a motion diagram.)  </strong> A) A B) B C) C D) D E) E F) F T) T <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
F) F
T) T
Question
A bike (shown in a top view in the diagram) travels around a curve with its brakes on, so that it is constantly slowing down. Which of the arrows shown most closely approximates the direction of the bike's acceleration at the instant it is at the position shown? (Hint: Draw a motion diagram.)
<strong>A bike (shown in a top view in the diagram) travels around a curve with its brakes on, so that it is constantly slowing down. Which of the arrows shown most closely approximates the direction of the bike's acceleration at the instant it is at the position shown? (Hint: Draw a motion diagram.)  </strong> A) A B) B C) C D) D E) E F) F T) T <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
F) F
T) T
Question
A car passes a dip in the road, going first down, then up. At the very bottom of the dip, when the car's instantaneous velocity is passing through horizontal, how does the magnitude of the normal force on the car compare to the magnitude of the car's weight?

A) FN<Fg\left|\vec{F}_{N}\right|<\left|\vec{F}_{g}\right|

B) FN=Fg\left|\vec{F}_{N}\right|=\left|\vec{F}_{g}\right|

C) FN>Fg\left|\vec{F}_{N}\right|>\left|\vec{F}_{g}\right|

D) FN>Fg\left|\vec{F}_{N}\right|>\left|\vec{F}_{g}\right| .

E) We do not have enough information to answer.
Question
The drawing below is supposed to be a free-body diagram of a box that sits without slipping on the back of a truck that is moving to the right but is slowing down. Is the diagram correct?
 <strong>The drawing below is supposed to be a free-body diagram of a box that sits without slipping on the back of a truck that is moving to the right but is slowing down. Is the diagram correct?  </strong> A) Yes. B) No,  \vec{F}_{S F}  should point leftward. C) No, the  \vec{F}_{S F}  label should be  \vec{F}_{K F} . D) No, there should be a leftward drag force. E) No,  \left|\vec{F}_{N}\right|  should not be equal to  \left|\vec{F}_{g}\right| . F) No, there is some other problem (specify). <div style=padding-top: 35px>

A) Yes.
B) No, FSF\vec{F}_{S F} should point leftward.
C) No, the FSF\vec{F}_{S F} label should be FKF\vec{F}_{K F} .
D) No, there should be a leftward drag force.
E) No, FN\left|\vec{F}_{N}\right| should not be equal to Fg\left|\vec{F}_{g}\right| .
F) No, there is some other problem (specify).
Question
The drawing shown is supposed to be a free-body diagram of a crate that is being lowered by a crane and is speeding up as it is being lowered. Is the diagram correct? (Ignore air resistance.)
 <strong>The drawing shown is supposed to be a free-body diagram of a crate that is being lowered by a crane and is speeding up as it is being lowered. Is the diagram correct? (Ignore air resistance.)  </strong> A) Yes. B) No,  \vec{F}_{T}  should be labeled  \vec{F}_{N}  C) No,  \left|\vec{F}_{T}\right|  should be equal to  \left|\vec{F}_{g}\right| . D) No,  \left|\vec{F}_{T}\right|  should be greater than  \vec{F}_{K F}  E) No, there should be an upward drag force  \left|\vec{F}_{D}\right|  F) No, there is some other problem (specify). <div style=padding-top: 35px>

A) Yes.
B) No, FT\vec{F}_{T} should be labeled FN\vec{F}_{N}
C) No, FT\left|\vec{F}_{T}\right| should be equal to Fg\left|\vec{F}_{g}\right| .
D) No, FT\left|\vec{F}_{T}\right| should be greater than FKF\vec{F}_{K F}
E) No, there should be an upward drag force FD\left|\vec{F}_{D}\right|
F) No, there is some other problem (specify).
Question
A crate is sliding down a 3030^{\circ} incline, picking up speed as it slides. Ignore air friction.

-(a) Which of the forces listed below that acts on the crate has the greatest magnitude?

A) FN\left|\vec{F}_{N}\right|
B) Fg\left|\vec{F}_{g}\right|
C) Both FN\left|\vec{F}_{N}\right| and Fg\left|\vec{F}_{g}\right| (which are equal)
D) FSF\left|\vec{F}_{S F}\right|
E) FKF\left|\vec{F}_{K F}\right|
Question
A crate is sliding down a 3030^{\circ} incline, picking up speed as it slides. Ignore air friction.

-(b) Which force has the smallest magnitude?

A) FN\left|\vec{F}_{N}\right|
B) Fg\left|\vec{F}_{g}\right|
C) Both FN\left|\vec{F}_{N}\right| and Fg\left|\vec{F}_{g}\right| (which are equal)
D) FSF\left|\vec{F}_{S F}\right|
E) FKF\left|\vec{F}_{K F}\right|
Question
A crate is sliding down a 3030^{\circ} incline, picking up speed as it slides. Ignore air friction.

-(c) Which force listed does not actually act on the crate?

A) FN\left|\vec{F}_{N}\right|
B) Fg\left|\vec{F}_{g}\right|
C) Both FN\left|\vec{F}_{N}\right| and Fg\left|\vec{F}_{g}\right| (which are equal)
D) FSF\left|\vec{F}_{S F}\right|
E) FKF\left|\vec{F}_{K F}\right|
Question
An object's x-position is shown in the boxed graph of the following set of graphs. Which of the other graphs in the set most correctly describes its xx -velocity?
 <strong>An object's x-position is shown in the boxed graph of the following set of graphs. Which of the other graphs in the set most correctly describes its  x -velocity?  </strong> A) A B) B C) C D) D E) E <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
Question
Which graph best describes the x-acceleration of the object described in problem N2T.13?
<strong>Which graph best describes the x-acceleration of the object described in problem N2T.13?  </strong> A) A B) B C) C D) D E) E <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
Question
An object's xx -velocity vx(t)v_{x}(t) is shown in the boxed graph at the top left. Which of the other graphs in the set most correctly describes its xx -position?
 <strong>An object's  x -velocity  v_{x}(t)  is shown in the boxed graph at the top left. Which of the other graphs in the set most correctly describes its  x -position?  </strong> A) A B) B C) C D) D E) E <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
Question
An object's xx -acceleration ax(t)a_{x}(t) is shown in the boxed graph at the top left. Which of the other graphs in the set most correctly describes its xx -velocity?
 <strong>An object's  x -acceleration  a_{x}(t)  is shown in the boxed graph at the top left. Which of the other graphs in the set most correctly describes its  x -velocity?  </strong> A) A B) B C) C D) D E) E <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
Question
If a car has an xx -acceleration of ax(t)=bt+ca_{x}(t)=-b t+c , and its initial xx -velocity at time t=0t=0 is vx(0)=v0v_{x}(0)=v_{0} , which function below best describes vx(t)v_{x}(t) ?

A) b-\mathrm{b}
B) b+v0-b+v_{0}
C) 1/2bt2+ct+v01 / 2 b_{t}{ }^{2}+c_{t}+v_{0}
D) 1/2bt2+ct+v0-\mathbf{1} / \mathbf{2} b_{t}{ }^{2}+c_{t}+v_{0}
E) 2bt2+v0-2 b_{t}{ }^{2}+v_{0}
F) 1/2bt2+v0-1 / 2 b_{t}{ }^{2}+v_{0}
Question
If a car's xx -position at time t=0t=0 is x(0)=0x(0)=0 and it has an xx -velocity of vx(t)=b(tT)2v_{x}(t)=b(t-T)^{2} , where bb and TT are constants, which function below best describes x(t)x(t) ?

A) x(t)=2b(tT)x(t)=2 b(t-T)
B) x(t)=3b(tT)3x(t)=3 b(t-T)^{3}
C) x(t)=13b(tT)3x(t)=\frac{1}{3} b(t-T)^{3}
D) x(t)=12b(tT)x(t)=\frac{1}{2} b(t-T)
E) x(t)=13b[(tT)3+T3]x(t)=\frac{1}{3} b\left[(t-T)^{3}+T^{3}\right]
F) Other (specify)
Question
Suppose you are preparing an actual-size trajectory diagram of a freely falling object. The time interval between positions is 0.02 s0.02 \mathrm{~s} . How long should you draw the acceleration arrows on your diagram?

A) 9.8 m9.8 \mathrm{~m}
B) 0.20 m0.20 \mathrm{~m}
C) 0.04 m0.04 \mathrm{~m}
D) 3.9 cm3.9 \mathrm{~cm}
E) 0.39 cm0.39 \mathrm{~cm}
F) Other (specify)
Question
At time t=0t=0 a person is sliding due east on a flat, frictionless plane of ice. The net force on this person is due to a battery-powered fan the person holds that exerts a southward thrust force on the person. Assuming that drag is negligible, the eastward component of the person's velocity is unaffected by this force.
Question
Consider the person described in problem N3T.6. The person's trajectory will look most like which of the following? (The dot shows the person's position at t=0t=0 and east is to the right and north to the top.)
 <strong>Consider the person described in problem N3T.6. The person's trajectory will look most like which of the following? (The dot shows the person's position at  t=0  and east is to the right and north to the top.)  </strong> A) A B) B C) C D) D E) E F) F <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
F) F
Question
A weight hangs from a string but is pulled to one side by a horizontal string, as shown. The tension force exerted by the angled string is
<strong>A weight hangs from a string but is pulled to one side by a horizontal string, as shown. The tension force exerted by the angled string is  </strong> A) Less than the hanging object's weight. B) Equal to the hanging object's weight. C) Greater than the hanging object's weight. <div style=padding-top: 35px>

A) Less than the hanging object's weight.
B) Equal to the hanging object's weight.
C) Greater than the hanging object's weight.
Question
A person would like to pull a car out of a ditch. This person ties one end of a chain to the car's bumper and wraps the other end around a tree so that the chain is taut. The person then pulls on the chain perpendicular to its length, as shown in the picture. The magnitude of the force that the chain exerts on the car in this situation is
<strong>A person would like to pull a car out of a ditch. This person ties one end of a chain to the car's bumper and wraps the other end around a tree so that the chain is taut. The person then pulls on the chain perpendicular to its length, as shown in the picture. The magnitude of the force that the chain exerts on the car in this situation is  </strong> A) Much smaller than the force the person exerts on the chain. B) About equal to the force the person exerts on the chain. C) Much bigger than the force the person exerts on the chain. <div style=padding-top: 35px>

A) Much smaller than the force the person exerts on the chain.
B) About equal to the force the person exerts on the chain.
C) Much bigger than the force the person exerts on the chain.
Question
Suppose an object is suspended from strings as shown in the diagram below.
<strong>Suppose an object is suspended from strings as shown in the diagram below.    -Which exerts the largest force on the connecting ring?</strong> A) String A B) String B C) String C <div style=padding-top: 35px>

-Which exerts the largest force on the connecting ring?

A) String A
B) String B
C) String C
Question
Suppose an object is suspended from strings as shown in the diagram below.
 <strong>Suppose an object is suspended from strings as shown in the diagram below.    -Which exerts the smallest force on that ring? (Hint: Draw a free-body diagram of the ring.)</strong> A) String  A  B) String B C) String C <div style=padding-top: 35px>

-Which exerts the smallest force on that ring?
(Hint: Draw a free-body diagram of the ring.)

A) String AA
B) String B
C) String C
Question
The lid of a grand piano is propped open as shown. Which arrow most closely approximates the direction of the force that the hinge exerts on the lid? Assume that the prop exerts a force in parallel to the prop's length. (Hint: Draw a torque diagram of the lid.)
<strong>The lid of a grand piano is propped open as shown. Which arrow most closely approximates the direction of the force that the hinge exerts on the lid? Assume that the prop exerts a force in parallel to the prop's length. (Hint: Draw a torque diagram of the lid.)  </strong> A) A B) B C) C D) D E) E F) F T) T <div style=padding-top: 35px>

A) A
B) B
C) C
D) D
E) E
F) F
T) T
Question
If we choose our origin to be the hinge in the situation discussed in problem N4T.4, the torque exerted by the lid's weight around the hinge is away from the viewer.
Question
When viewed from above, suppose that a helicopter's rotor spins clockwise. The helicopter engine must continually exert a torque on the rotor to keep it spinning against the drag that the air exerts on the rotor. Note that a helicopter is usually designed so its center of mass is directly under the rotor. In order for the helicopter to hover motionless in the air, a small rotor at the helicopter's tail is necessary. As viewed by someone looking at the tail from the helicopter's front, the small rotor must blow air

A) To the left.
B) To the right.
C) Vertically upward.
D) Vertically downward.
E) In some combination of these directions.
Question
A board of mass mm lies on the ground. What is the magnitude of the force you would have to exert to lift one end of the board barely off the ground (assuming that the other end still touches the ground)?

A) 2mg2 m|\vec{g}|
B) mgm|\vec{g}|
C) 1/2mg1 / 2 m|\vec{g}|
D) The answer depends on the board's length.
E) Other (explain)
Question
Suppose you continue to lift the board described in problem N4T.7. Assume that the force you exert is always perpendicular to the board and that one end of the board always remains on the ground. What happens to the magnitude of the force you exert on the end as the angle between the board and the ground increases? It

A) Increases.
B) Decreases.
C) Remains the same.
D) The answer depends on information not given.
Question
The magnitude of the normal force on a box sitting on an incline is equal to that of its weight.
Question
A certain crate sits on a rough floor. You find that you have to apply a horizontal force of 200 N200 \mathrm{~N} to get the crate moving. If you put some massive objects in the crate so that its mass is doubled, how much force does it take to get the crate moving now?

A) Still 200 N200 \mathrm{~N}
B) 400 N400 \mathrm{~N}
C) 800 N800 \mathrm{~N}
D) It depends (specify)
Question
Two boxes of the same mass sit on a rough floor. These boxes are made of the same kind of cardboard and are identical except that one is twice as large as the other. If it takes 200 N200 \mathrm{~N} to start moving the smaller box, how much force does it take to start moving the larger one?

A) Still 200 N200 \mathrm{~N}
B) 400 N400 \mathrm{~N}
C) 800 N800 \mathrm{~N}
D) It depends (specify)
Question
The coefficient of static friction between Teflon and scrambled eggs is about 0.1. What is the smallest tilt angle from the horizontal that will cause the eggs to slide across the surface of a tilted Teflon-coated pan?

A) 0.0020.002^{\circ}
B) 5.75.7^{\circ}
C) 1515^{\circ}
D) 3333^{\circ}
E) Other (specify)
Question
If you want to stop a car without anti-lock brakes as quickly as possible on an icy road, you should

A) Jam on the brakes as hard as you can.
B) Push on the brakes as hard as you can without locking the car's wheels and thus making the car skid.
C) Pump the brakes.
D) Do something else (specify).
Question
Putting wider tires on your car will clearly give you more traction.
Question
Assume that the coefficient of static friction between your car's tires and a certain road surface is about 0.75 . Your car can climb a 4545^{\circ} slope.
Question
Imagine that an external force of 100 N100 \mathrm{~N} must be applied to keep a bicycle and rider moving at a constant speed of 12 mi/h\mathrm{mi} / \mathrm{h} against opposing air drag. To double the bike's speed to 24mi/h24 \mathrm{mi} / \mathrm{h} , we must increase the magnitude of the force exerted on the bike to

A) 141 N141 \mathrm{~N}
B) 200 N200 \mathrm{~N}
C) 400 N400 \mathrm{~N}
D) It depends on the bike's shape and area
E) Other (specify)
Question
Imagine that a certain engine can cause the road to exert a certain maximum forward force FSF\left|\vec{F}_{S F}\right| on a certain car. If we change the car's design to reduce its drag coefficient by a factor of 2 , by what factor will the car's maximum speed increase (other things being equal)?

A) No increase
B) 1.41
C) 2
D) 4
E) Depends (specify)
F) Other (specify)
Question
A truck is traveling down a steady slope such that for each 1 m1 \mathrm{~m} the truck goes forward along the slope it goes down 0.04 m0.04 \mathrm{~m} (we call this a 4%4 \% grade). Imagine that the truck's brakes fail. What is the approximate increase in the truck's speed after 30 s30 \mathrm{~s} , assuming that the engine is not used and there is little drag or other friction? [g=[\vec{g} \mid= 22(mi/h)/s22(\mathrm{mi} / \mathrm{h}) / \mathrm{s} .]

A) 0.9mi/h0.9 \mathrm{mi} / \mathrm{h}
B) 11mi/h11 \mathrm{mi} / \mathrm{h}
C) 26mi/h26 \mathrm{mi} / \mathrm{h}
D) 53mi/h53 \mathrm{mi} / \mathrm{h}
E) 660mi/h660 \mathrm{mi} / \mathrm{h}
F) Other (specify)
Question
We can express the kinetic friction law in the form \(\vec{F}_{K F}=\mu_{k} \vec{F}_{N} .
Question
A car with four-wheel drive can climb a steeper slope than a car with two-wheel drive.
Question
A jet airplane flies at a constant velocity through the air. Its jet engines exert a constant force forward on the plane that exactly balances the force of air friction exerted backward on the plane. These forces are equal in magnitude and opposite in direction. Do we know this because of Newton's second law or Newton's third law?

A) Newton's second law
B) Newton's third law
C) Both laws
D) Neither (explain)
Question
Which of the following pairs of forces are third-law partners? Answer T\mathrm{T} if the two forces described are third-law partners, F\mathrm{F} if they are not.

-A thrust force from its propeller pulls a plane forward; a drag force pushes it backward.
Question
Which of the following pairs of forces are third-law partners? Answer T\mathrm{T} if the two forces described are third-law partners, F\mathrm{F} if they are not.

-A car exerts a forward force on a trailer; the trailer tugs backward on the car.
Question
Which of the following pairs of forces are third-law partners? Answer T\mathrm{T} if the two forces described are third-law partners, F\mathrm{F} if they are not.

-A motorboat propeller pushes backward on the water; the water pushes forward on the propeller.
Question
Which of the following pairs of forces are third-law partners? Answer T\mathrm{T} if the two forces described are third-law partners, F\mathrm{F} if they are not.

-Gravity pulls down on a person sitting in a chair; the chair pushes back up on the person.
Question
A box BB sits in the back of a truck TT as the truck slows down for a stop (the box remains motionless relative to the truck). What is the appropriate symbol for the horizontal force that the contact interaction between the box and the truck exerts on the truck?

A) FNB(T)\vec{F}_{N}^{B(T)}

B) FNT(B)\vec{F}_{N}^{\mathrm{T}(\mathrm{B})}

C) FSFB(T)\vec{F}_{S F}^{B(T)}

D) FSFT(B)\vec{F}_{S F}^{\mathrm{T}(B)}

E) FKFB(T)\vec{F}_{K F}^{\mathrm{B}(\mathrm{T})}

F) Other (specify)
Question
A child CC pulls on a wagon WW , using a string SS ; the wagon moves forward at a constant speed as a result. The third-law partner to the forward force exerted on the wagon is which of the following forces?
( R=\mathrm{R}= road.)

A) FTS(W)\vec{F}_{T}^{S(W)}

B) FTW(S)\vec{F}_{T}^{\mathrm{W}(\mathrm{S})}

C) FTW(C)\vec{F}_{T}^{\mathrm{W}(\mathrm{C})}

D) FTC(W)\vec{F}_{T}^{\mathrm{C}(W)}

E) FKFW(R)\vec{F}_{K F}^{\mathrm{W}(R)}

F) Other (specify)
Question
A small car pushes on a disabled truck, accelerating it slowly forward. Each exerts a force on the other as a result of their contact interaction. Which vehicle exerts the greater force on the other?

A) The car
B) The truck
C) Both forces have the same magnitude.
D) The truck doesn't exert any force on the car.
E) One needs more information to answer.
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Deck 2: The Laws of Physics Are Universal Newtonian Mechanics
1
Do the following statements about the physical world express

-If you push on something, it moves. If you push twice as hard, it moves twice as fast.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
A
2
Do the following statements about the physical world express

-A heavy object falls faster than a light object.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
A
3
Do the following statements about the physical world express

-The moon is held in its orbit around the earth by the force of the earth's gravity.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
B
4
Do the following statements about the physical world express

-If you push on an object, it moves. After you release it, it gradually comes to rest because friction drains away the force of the initial push.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
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5
Do the following statements about the physical world express

-The speed of a falling object increases as it falls.

A)a primarily Aristotelian viewpoint .
B)aprimarily Newtonian viewpoint.
C)are they consistent with both viewpoints
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6
A spaceship with a mass of 20,000 kg20,000 \mathrm{~kg} is traveling in a straight line at a constant speed of 300 km/s300 \mathrm{~km} / \mathrm{s} in deep space. Its rockets engines must be:

A) off
B) firing
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7
A 6kg6-\mathrm{kg} bowling ball moving at 3 m/s3 \mathrm{~m} / \mathrm{s} collides with a 1.4-kg bowling pin at rest. How do the magnitudes of the forces exerted by the collision on each object compare?

A) The force on the pin is larger than the force on the ball.
B)The force on the ball is larger than the force on the pin.
C) Both objects experience the same magnitude of force.
D) The collision exerts no force on the ball.
E) There is no way to tell.
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8
A large car drags a small trailer in such a way that their common speed increases rapidly. Which tugs harder on the other?

A) The car tugs harder on the trailer than vice versa.
B) The trailer tugs harder on the car than vice versa.
C) Both tug equally on each other.
D) The trailer exerts no force on the car at all.
E) There is no way to tell.
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9
A parent pushes a small child on a swing so that the child moves rapidly away while the parent remains at rest. How does the magnitude of the force that the child exerts on the parent compare to the magnitude of the force that the parent exerts on the child?

A) The force on the child is larger in magnitude.
B) The force on the parent is larger in magnitude.
C) These forces have equal magnitudes.
D) The child exerts zero force on the parent.
E)There is no way to tell.
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10
Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:
 <strong>Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:   At what instant(s) of time do the marbles have the same instantaneous velocity?</strong> A) At time  t_{B}  B) At time  t_{G}  C) At both  t_{B}  and  t_{G}  D) Some instant between  t_{C}  and  t_{D}  E) Some instant between  t_{D}  and  t_{E}  F) Roughly time  t_{D}
At what instant(s) of time do the marbles have the same instantaneous velocity?

A) At time tBt_{B}
B) At time tGt_{G}
C) At both tBt_{B} and tGt_{G}
D) Some instant between tCt_{C} and tDt_{D}
E) Some instant between tDt_{D} and tEt_{E}
F) Roughly time tDt_{D}
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11
Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:
 <strong>Two marbles are rolling along parallel tracks (which may or may not be inclined). A stroboscopic photograph showing a top view of the positions of the marbles at equally spaced instants of time looks like this:   At what instant(s) of time do the marbles have the same instantaneous velocity?</strong> A) At time  t_{B}  B) At time  t_{G}  C) At both  t_{B}  and  t_{G}  D) Some instant between  t_{C}  and  t_{D}  E) Some instant between  t_{D}  and  t_{E}  F) Roughly time  t_{D}
At what instant(s) of time do the marbles have the same instantaneous velocity?

A) At time tBt_{B}
B) At time tGt_{G}
C) At both tBt_{B} and tGt_{G}
D) Some instant between tCt_{C} and tDt_{D}
E) Some instant between tDt_{D} and tEt_{E}
F) Roughly time tDt_{D}
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12
An object travels halfway around a circle at a constant instantaneous speed v|\vec{v}| . What is the magnitude ψ|\vec{\psi}| of its average velocity during this time interval?

A) v|\vec{v}|
B) 1.41v1.41|\vec{v}|
C) 1.57v1.57|\vec{v}|
D) v/1.41|\vec{v}| / 1.41
E) v/1.57|\vec{v}| / 1.57
F) Some other multiple of v|\vec{v}| (specify)
G) We do not have enough information to answer.
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13
An object can have a constant speed and still be accelerating.
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14
An object's acceleration vector always points in the direction that it is moving.
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15
An object can have zero velocity (at an instant) and still be accelerating.
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16
An object's xx -velocity can be positive at the same time that its xx -acceleration is negative.
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17
An object falling vertically at a speed of 20 m/s20 \mathrm{~m} / \mathrm{s} lands in a snowbank and comes to rest 0.5 s0.5 \mathrm{~s} later. The object's average acceleration during this interval is

A) Upward
B) Downward
C) Zero
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18
Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of

-The ball's instantaneous velocity.

A) Upward
B) Downward
C) Zero
D) Other (specify)
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19
Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of

-The ball's instantaneous acceleration.

A) Upward
B) Downward
C) Zero
D) Other (specify)
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20
Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of

-The gravitational force on the ball.

A) Upward
B) Downward
C) Zero
D) Other (specify)
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21
Suppose you throw a ball vertically into the air. At the exact instant that the ball reaches its highest position, select from the choices below the most accurate description of

-The net external force on the ball.

A) Upward
B) Downward
C) Zero
D) Other (specify)
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22
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The moon's velocity.
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The moon's velocity.
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23
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The moon's acceleration.
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The moon's acceleration.
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24
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The gravitational force on the moon due to the earth.
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The gravitational force on the moon due to the earth.
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25
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The net external force on the moon.
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The net external force on the moon.
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26
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.
The diagram below shows a top view of the moon's nearly circular orbit around the earth. The moon orbits the earth at a nearly constant speed.   At the point shown, use the arrow choices shown to the right to indicate the direction of  -The gravitational force on the earth due to the moon. (To choose a double-letter answer using the letters on the back of the book, point with two fingers to the letter.)
At the point shown, use the arrow choices shown to the right to indicate the direction of

-The gravitational force on the earth due to the moon. (To choose a double-letter answer using the letters on the back of the book, point with two fingers to the letter.)
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27
Figure N1.6 shows the acceleration for an object moving clockwise around the circle. If the object moves counterclockwise around the circle, its acceleration points outward instead of inward.
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28
An object travels at a constant speed v|\vec{v}| exactly once around a circle of radius rr . The magnitude  <strong>An object travels at a constant speed  |\vec{v}|  exactly once around a circle of radius  r . The magnitude  of the object's average acceleration is:</strong> A)  |\vec{v}|^{2} / r  B) Zero C) Something else (specify)  of the object's average acceleration is:

A) v2/r|\vec{v}|^{2} / r
B) Zero
C) Something else (specify)
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29
When a baseball pitcher throws a curveball, he or she puts top-spin on the ball. This causes the ball to interact with the passing air in such a way as to make the air push the ball downward perpendicular to the ball's velocity. (This causes the ball to dive sharply as it approaches the plate, making it quite difficult to hit.) We would classify this force as a "lift" force on the ball.
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30
Suppose that a comet goes around the sun in an elliptical orbit such that the comet at the farthest point in its orbit is 3 times as far from the sun as it is when it is at its closest point. How many times stronger is the gravitational force on the comet due to the sun when it is at its closest point than when it is at its farthest?

A) Fg\left|\overrightarrow{F_{g}}\right| is the same at both positions.
B) 3\sqrt{3} times stronger
C) 3 times stronger
D) 9 times stronger
E) 27 times stronger
F) The answer depends on the relative masses of the comet and the sun.
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31
Suppose an object is hanging from the end of a spring. Let the spring's length when the object is hanging at rest be L. Now suppose we pull the object downward until the spring has been stretched a length of 2 L2 \mathrm{~L} . By what factor has the force that the spring is exerting on the object increased?

A) The spring force is the same in both cases.
B) 2\sqrt{2} times stronger
C) 2 times stronger
D) 4 times stronger
E) The answer depends on the spring's relaxed length.
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32
A crate sits on the ground. You push as hard as you can on it, but you cannot move it. At any given time when you are pushing, what is the magnitude of the static friction force exerted on the crate by its contact interaction with the ground compared to the magnitude of your push (which is a normal force)? (Hints: What is the crate's acceleration? Draw a free-body diagram.)

A) FSF<FN\left|\vec{F}_{S F}\right|<\left|\vec{F}_{N}\right|
B) FSF=FN\left|\vec{F}_{S F}\right|=\left|\vec{F}_{N}\right|
C) FSF>FN\left|\vec{F}_{S F}\right|>\left|\vec{F}_{N}\right|
D) FSF=0\left|\vec{F}_{S F}\right|=0 !
E) We do not have enough information to answer.}
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33
A box sits at rest on an inclined plank. How do the magnitudes of the normal force and the gravitational force exerted on the box compare? (Hints: What is the box's acceleration? Draw a free-body diagram!)

A) FN<Fg\left|\vec{F}_{N}\right|<\left|\vec{F}_{g}\right|
B) FN=Fg\left|\vec{F}_{N}\right|=\left|\vec{F}_{g}\right|
C) FN>Fg\left|\vec{F}_{N}\right|>\left|\vec{F}_{g}\right|
D) FN=0\left|\vec{F}_{N}\right|=0 !
E) We do not have enough information to answer.
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34
A boat hits a sandbar and slides some distance before coming to rest. Which of the arrows shown below best represents the direction of the boat's acceleration as it is sliding? (Hint: Draw a motion diagram.)
<strong>A boat hits a sandbar and slides some distance before coming to rest. Which of the arrows shown below best represents the direction of the boat's acceleration as it is sliding? (Hint: Draw a motion diagram.)  </strong> A) A B) B C) C D) D E) E F) F T) Zero

A) A
B) B
C) C
D) D
E) E
F) F
T) Zero
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35
A car moving at a constant speed travels past a valley in the road, as shown below. Which of the arrows shown most closely approximates the direction of the car's acceleration at the instant it is at the position shown? (Hint: Draw a motion diagram.)
<strong>A car moving at a constant speed travels past a valley in the road, as shown below. Which of the arrows shown most closely approximates the direction of the car's acceleration at the instant it is at the position shown? (Hint: Draw a motion diagram.)  </strong> A) A B) B C) C D) D E) E F) F T) T

A) A
B) B
C) C
D) D
E) E
F) F
T) T
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36
A bike (shown in a top view in the diagram) travels around a curve with its brakes on, so that it is constantly slowing down. Which of the arrows shown most closely approximates the direction of the bike's acceleration at the instant it is at the position shown? (Hint: Draw a motion diagram.)
<strong>A bike (shown in a top view in the diagram) travels around a curve with its brakes on, so that it is constantly slowing down. Which of the arrows shown most closely approximates the direction of the bike's acceleration at the instant it is at the position shown? (Hint: Draw a motion diagram.)  </strong> A) A B) B C) C D) D E) E F) F T) T

A) A
B) B
C) C
D) D
E) E
F) F
T) T
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37
A car passes a dip in the road, going first down, then up. At the very bottom of the dip, when the car's instantaneous velocity is passing through horizontal, how does the magnitude of the normal force on the car compare to the magnitude of the car's weight?

A) FN<Fg\left|\vec{F}_{N}\right|<\left|\vec{F}_{g}\right|

B) FN=Fg\left|\vec{F}_{N}\right|=\left|\vec{F}_{g}\right|

C) FN>Fg\left|\vec{F}_{N}\right|>\left|\vec{F}_{g}\right|

D) FN>Fg\left|\vec{F}_{N}\right|>\left|\vec{F}_{g}\right| .

E) We do not have enough information to answer.
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38
The drawing below is supposed to be a free-body diagram of a box that sits without slipping on the back of a truck that is moving to the right but is slowing down. Is the diagram correct?
 <strong>The drawing below is supposed to be a free-body diagram of a box that sits without slipping on the back of a truck that is moving to the right but is slowing down. Is the diagram correct?  </strong> A) Yes. B) No,  \vec{F}_{S F}  should point leftward. C) No, the  \vec{F}_{S F}  label should be  \vec{F}_{K F} . D) No, there should be a leftward drag force. E) No,  \left|\vec{F}_{N}\right|  should not be equal to  \left|\vec{F}_{g}\right| . F) No, there is some other problem (specify).

A) Yes.
B) No, FSF\vec{F}_{S F} should point leftward.
C) No, the FSF\vec{F}_{S F} label should be FKF\vec{F}_{K F} .
D) No, there should be a leftward drag force.
E) No, FN\left|\vec{F}_{N}\right| should not be equal to Fg\left|\vec{F}_{g}\right| .
F) No, there is some other problem (specify).
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39
The drawing shown is supposed to be a free-body diagram of a crate that is being lowered by a crane and is speeding up as it is being lowered. Is the diagram correct? (Ignore air resistance.)
 <strong>The drawing shown is supposed to be a free-body diagram of a crate that is being lowered by a crane and is speeding up as it is being lowered. Is the diagram correct? (Ignore air resistance.)  </strong> A) Yes. B) No,  \vec{F}_{T}  should be labeled  \vec{F}_{N}  C) No,  \left|\vec{F}_{T}\right|  should be equal to  \left|\vec{F}_{g}\right| . D) No,  \left|\vec{F}_{T}\right|  should be greater than  \vec{F}_{K F}  E) No, there should be an upward drag force  \left|\vec{F}_{D}\right|  F) No, there is some other problem (specify).

A) Yes.
B) No, FT\vec{F}_{T} should be labeled FN\vec{F}_{N}
C) No, FT\left|\vec{F}_{T}\right| should be equal to Fg\left|\vec{F}_{g}\right| .
D) No, FT\left|\vec{F}_{T}\right| should be greater than FKF\vec{F}_{K F}
E) No, there should be an upward drag force FD\left|\vec{F}_{D}\right|
F) No, there is some other problem (specify).
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40
A crate is sliding down a 3030^{\circ} incline, picking up speed as it slides. Ignore air friction.

-(a) Which of the forces listed below that acts on the crate has the greatest magnitude?

A) FN\left|\vec{F}_{N}\right|
B) Fg\left|\vec{F}_{g}\right|
C) Both FN\left|\vec{F}_{N}\right| and Fg\left|\vec{F}_{g}\right| (which are equal)
D) FSF\left|\vec{F}_{S F}\right|
E) FKF\left|\vec{F}_{K F}\right|
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41
A crate is sliding down a 3030^{\circ} incline, picking up speed as it slides. Ignore air friction.

-(b) Which force has the smallest magnitude?

A) FN\left|\vec{F}_{N}\right|
B) Fg\left|\vec{F}_{g}\right|
C) Both FN\left|\vec{F}_{N}\right| and Fg\left|\vec{F}_{g}\right| (which are equal)
D) FSF\left|\vec{F}_{S F}\right|
E) FKF\left|\vec{F}_{K F}\right|
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42
A crate is sliding down a 3030^{\circ} incline, picking up speed as it slides. Ignore air friction.

-(c) Which force listed does not actually act on the crate?

A) FN\left|\vec{F}_{N}\right|
B) Fg\left|\vec{F}_{g}\right|
C) Both FN\left|\vec{F}_{N}\right| and Fg\left|\vec{F}_{g}\right| (which are equal)
D) FSF\left|\vec{F}_{S F}\right|
E) FKF\left|\vec{F}_{K F}\right|
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43
An object's x-position is shown in the boxed graph of the following set of graphs. Which of the other graphs in the set most correctly describes its xx -velocity?
 <strong>An object's x-position is shown in the boxed graph of the following set of graphs. Which of the other graphs in the set most correctly describes its  x -velocity?  </strong> A) A B) B C) C D) D E) E

A) A
B) B
C) C
D) D
E) E
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44
Which graph best describes the x-acceleration of the object described in problem N2T.13?
<strong>Which graph best describes the x-acceleration of the object described in problem N2T.13?  </strong> A) A B) B C) C D) D E) E

A) A
B) B
C) C
D) D
E) E
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45
An object's xx -velocity vx(t)v_{x}(t) is shown in the boxed graph at the top left. Which of the other graphs in the set most correctly describes its xx -position?
 <strong>An object's  x -velocity  v_{x}(t)  is shown in the boxed graph at the top left. Which of the other graphs in the set most correctly describes its  x -position?  </strong> A) A B) B C) C D) D E) E

A) A
B) B
C) C
D) D
E) E
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46
An object's xx -acceleration ax(t)a_{x}(t) is shown in the boxed graph at the top left. Which of the other graphs in the set most correctly describes its xx -velocity?
 <strong>An object's  x -acceleration  a_{x}(t)  is shown in the boxed graph at the top left. Which of the other graphs in the set most correctly describes its  x -velocity?  </strong> A) A B) B C) C D) D E) E

A) A
B) B
C) C
D) D
E) E
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47
If a car has an xx -acceleration of ax(t)=bt+ca_{x}(t)=-b t+c , and its initial xx -velocity at time t=0t=0 is vx(0)=v0v_{x}(0)=v_{0} , which function below best describes vx(t)v_{x}(t) ?

A) b-\mathrm{b}
B) b+v0-b+v_{0}
C) 1/2bt2+ct+v01 / 2 b_{t}{ }^{2}+c_{t}+v_{0}
D) 1/2bt2+ct+v0-\mathbf{1} / \mathbf{2} b_{t}{ }^{2}+c_{t}+v_{0}
E) 2bt2+v0-2 b_{t}{ }^{2}+v_{0}
F) 1/2bt2+v0-1 / 2 b_{t}{ }^{2}+v_{0}
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48
If a car's xx -position at time t=0t=0 is x(0)=0x(0)=0 and it has an xx -velocity of vx(t)=b(tT)2v_{x}(t)=b(t-T)^{2} , where bb and TT are constants, which function below best describes x(t)x(t) ?

A) x(t)=2b(tT)x(t)=2 b(t-T)
B) x(t)=3b(tT)3x(t)=3 b(t-T)^{3}
C) x(t)=13b(tT)3x(t)=\frac{1}{3} b(t-T)^{3}
D) x(t)=12b(tT)x(t)=\frac{1}{2} b(t-T)
E) x(t)=13b[(tT)3+T3]x(t)=\frac{1}{3} b\left[(t-T)^{3}+T^{3}\right]
F) Other (specify)
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49
Suppose you are preparing an actual-size trajectory diagram of a freely falling object. The time interval between positions is 0.02 s0.02 \mathrm{~s} . How long should you draw the acceleration arrows on your diagram?

A) 9.8 m9.8 \mathrm{~m}
B) 0.20 m0.20 \mathrm{~m}
C) 0.04 m0.04 \mathrm{~m}
D) 3.9 cm3.9 \mathrm{~cm}
E) 0.39 cm0.39 \mathrm{~cm}
F) Other (specify)
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50
At time t=0t=0 a person is sliding due east on a flat, frictionless plane of ice. The net force on this person is due to a battery-powered fan the person holds that exerts a southward thrust force on the person. Assuming that drag is negligible, the eastward component of the person's velocity is unaffected by this force.
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51
Consider the person described in problem N3T.6. The person's trajectory will look most like which of the following? (The dot shows the person's position at t=0t=0 and east is to the right and north to the top.)
 <strong>Consider the person described in problem N3T.6. The person's trajectory will look most like which of the following? (The dot shows the person's position at  t=0  and east is to the right and north to the top.)  </strong> A) A B) B C) C D) D E) E F) F

A) A
B) B
C) C
D) D
E) E
F) F
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52
A weight hangs from a string but is pulled to one side by a horizontal string, as shown. The tension force exerted by the angled string is
<strong>A weight hangs from a string but is pulled to one side by a horizontal string, as shown. The tension force exerted by the angled string is  </strong> A) Less than the hanging object's weight. B) Equal to the hanging object's weight. C) Greater than the hanging object's weight.

A) Less than the hanging object's weight.
B) Equal to the hanging object's weight.
C) Greater than the hanging object's weight.
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53
A person would like to pull a car out of a ditch. This person ties one end of a chain to the car's bumper and wraps the other end around a tree so that the chain is taut. The person then pulls on the chain perpendicular to its length, as shown in the picture. The magnitude of the force that the chain exerts on the car in this situation is
<strong>A person would like to pull a car out of a ditch. This person ties one end of a chain to the car's bumper and wraps the other end around a tree so that the chain is taut. The person then pulls on the chain perpendicular to its length, as shown in the picture. The magnitude of the force that the chain exerts on the car in this situation is  </strong> A) Much smaller than the force the person exerts on the chain. B) About equal to the force the person exerts on the chain. C) Much bigger than the force the person exerts on the chain.

A) Much smaller than the force the person exerts on the chain.
B) About equal to the force the person exerts on the chain.
C) Much bigger than the force the person exerts on the chain.
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54
Suppose an object is suspended from strings as shown in the diagram below.
<strong>Suppose an object is suspended from strings as shown in the diagram below.    -Which exerts the largest force on the connecting ring?</strong> A) String A B) String B C) String C

-Which exerts the largest force on the connecting ring?

A) String A
B) String B
C) String C
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55
Suppose an object is suspended from strings as shown in the diagram below.
 <strong>Suppose an object is suspended from strings as shown in the diagram below.    -Which exerts the smallest force on that ring? (Hint: Draw a free-body diagram of the ring.)</strong> A) String  A  B) String B C) String C

-Which exerts the smallest force on that ring?
(Hint: Draw a free-body diagram of the ring.)

A) String AA
B) String B
C) String C
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56
The lid of a grand piano is propped open as shown. Which arrow most closely approximates the direction of the force that the hinge exerts on the lid? Assume that the prop exerts a force in parallel to the prop's length. (Hint: Draw a torque diagram of the lid.)
<strong>The lid of a grand piano is propped open as shown. Which arrow most closely approximates the direction of the force that the hinge exerts on the lid? Assume that the prop exerts a force in parallel to the prop's length. (Hint: Draw a torque diagram of the lid.)  </strong> A) A B) B C) C D) D E) E F) F T) T

A) A
B) B
C) C
D) D
E) E
F) F
T) T
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57
If we choose our origin to be the hinge in the situation discussed in problem N4T.4, the torque exerted by the lid's weight around the hinge is away from the viewer.
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58
When viewed from above, suppose that a helicopter's rotor spins clockwise. The helicopter engine must continually exert a torque on the rotor to keep it spinning against the drag that the air exerts on the rotor. Note that a helicopter is usually designed so its center of mass is directly under the rotor. In order for the helicopter to hover motionless in the air, a small rotor at the helicopter's tail is necessary. As viewed by someone looking at the tail from the helicopter's front, the small rotor must blow air

A) To the left.
B) To the right.
C) Vertically upward.
D) Vertically downward.
E) In some combination of these directions.
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59
A board of mass mm lies on the ground. What is the magnitude of the force you would have to exert to lift one end of the board barely off the ground (assuming that the other end still touches the ground)?

A) 2mg2 m|\vec{g}|
B) mgm|\vec{g}|
C) 1/2mg1 / 2 m|\vec{g}|
D) The answer depends on the board's length.
E) Other (explain)
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60
Suppose you continue to lift the board described in problem N4T.7. Assume that the force you exert is always perpendicular to the board and that one end of the board always remains on the ground. What happens to the magnitude of the force you exert on the end as the angle between the board and the ground increases? It

A) Increases.
B) Decreases.
C) Remains the same.
D) The answer depends on information not given.
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61
The magnitude of the normal force on a box sitting on an incline is equal to that of its weight.
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62
A certain crate sits on a rough floor. You find that you have to apply a horizontal force of 200 N200 \mathrm{~N} to get the crate moving. If you put some massive objects in the crate so that its mass is doubled, how much force does it take to get the crate moving now?

A) Still 200 N200 \mathrm{~N}
B) 400 N400 \mathrm{~N}
C) 800 N800 \mathrm{~N}
D) It depends (specify)
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63
Two boxes of the same mass sit on a rough floor. These boxes are made of the same kind of cardboard and are identical except that one is twice as large as the other. If it takes 200 N200 \mathrm{~N} to start moving the smaller box, how much force does it take to start moving the larger one?

A) Still 200 N200 \mathrm{~N}
B) 400 N400 \mathrm{~N}
C) 800 N800 \mathrm{~N}
D) It depends (specify)
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64
The coefficient of static friction between Teflon and scrambled eggs is about 0.1. What is the smallest tilt angle from the horizontal that will cause the eggs to slide across the surface of a tilted Teflon-coated pan?

A) 0.0020.002^{\circ}
B) 5.75.7^{\circ}
C) 1515^{\circ}
D) 3333^{\circ}
E) Other (specify)
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65
If you want to stop a car without anti-lock brakes as quickly as possible on an icy road, you should

A) Jam on the brakes as hard as you can.
B) Push on the brakes as hard as you can without locking the car's wheels and thus making the car skid.
C) Pump the brakes.
D) Do something else (specify).
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66
Putting wider tires on your car will clearly give you more traction.
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67
Assume that the coefficient of static friction between your car's tires and a certain road surface is about 0.75 . Your car can climb a 4545^{\circ} slope.
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68
Imagine that an external force of 100 N100 \mathrm{~N} must be applied to keep a bicycle and rider moving at a constant speed of 12 mi/h\mathrm{mi} / \mathrm{h} against opposing air drag. To double the bike's speed to 24mi/h24 \mathrm{mi} / \mathrm{h} , we must increase the magnitude of the force exerted on the bike to

A) 141 N141 \mathrm{~N}
B) 200 N200 \mathrm{~N}
C) 400 N400 \mathrm{~N}
D) It depends on the bike's shape and area
E) Other (specify)
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69
Imagine that a certain engine can cause the road to exert a certain maximum forward force FSF\left|\vec{F}_{S F}\right| on a certain car. If we change the car's design to reduce its drag coefficient by a factor of 2 , by what factor will the car's maximum speed increase (other things being equal)?

A) No increase
B) 1.41
C) 2
D) 4
E) Depends (specify)
F) Other (specify)
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70
A truck is traveling down a steady slope such that for each 1 m1 \mathrm{~m} the truck goes forward along the slope it goes down 0.04 m0.04 \mathrm{~m} (we call this a 4%4 \% grade). Imagine that the truck's brakes fail. What is the approximate increase in the truck's speed after 30 s30 \mathrm{~s} , assuming that the engine is not used and there is little drag or other friction? [g=[\vec{g} \mid= 22(mi/h)/s22(\mathrm{mi} / \mathrm{h}) / \mathrm{s} .]

A) 0.9mi/h0.9 \mathrm{mi} / \mathrm{h}
B) 11mi/h11 \mathrm{mi} / \mathrm{h}
C) 26mi/h26 \mathrm{mi} / \mathrm{h}
D) 53mi/h53 \mathrm{mi} / \mathrm{h}
E) 660mi/h660 \mathrm{mi} / \mathrm{h}
F) Other (specify)
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71
We can express the kinetic friction law in the form \(\vec{F}_{K F}=\mu_{k} \vec{F}_{N} .
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72
A car with four-wheel drive can climb a steeper slope than a car with two-wheel drive.
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73
A jet airplane flies at a constant velocity through the air. Its jet engines exert a constant force forward on the plane that exactly balances the force of air friction exerted backward on the plane. These forces are equal in magnitude and opposite in direction. Do we know this because of Newton's second law or Newton's third law?

A) Newton's second law
B) Newton's third law
C) Both laws
D) Neither (explain)
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74
Which of the following pairs of forces are third-law partners? Answer T\mathrm{T} if the two forces described are third-law partners, F\mathrm{F} if they are not.

-A thrust force from its propeller pulls a plane forward; a drag force pushes it backward.
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75
Which of the following pairs of forces are third-law partners? Answer T\mathrm{T} if the two forces described are third-law partners, F\mathrm{F} if they are not.

-A car exerts a forward force on a trailer; the trailer tugs backward on the car.
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76
Which of the following pairs of forces are third-law partners? Answer T\mathrm{T} if the two forces described are third-law partners, F\mathrm{F} if they are not.

-A motorboat propeller pushes backward on the water; the water pushes forward on the propeller.
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77
Which of the following pairs of forces are third-law partners? Answer T\mathrm{T} if the two forces described are third-law partners, F\mathrm{F} if they are not.

-Gravity pulls down on a person sitting in a chair; the chair pushes back up on the person.
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78
A box BB sits in the back of a truck TT as the truck slows down for a stop (the box remains motionless relative to the truck). What is the appropriate symbol for the horizontal force that the contact interaction between the box and the truck exerts on the truck?

A) FNB(T)\vec{F}_{N}^{B(T)}

B) FNT(B)\vec{F}_{N}^{\mathrm{T}(\mathrm{B})}

C) FSFB(T)\vec{F}_{S F}^{B(T)}

D) FSFT(B)\vec{F}_{S F}^{\mathrm{T}(B)}

E) FKFB(T)\vec{F}_{K F}^{\mathrm{B}(\mathrm{T})}

F) Other (specify)
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79
A child CC pulls on a wagon WW , using a string SS ; the wagon moves forward at a constant speed as a result. The third-law partner to the forward force exerted on the wagon is which of the following forces?
( R=\mathrm{R}= road.)

A) FTS(W)\vec{F}_{T}^{S(W)}

B) FTW(S)\vec{F}_{T}^{\mathrm{W}(\mathrm{S})}

C) FTW(C)\vec{F}_{T}^{\mathrm{W}(\mathrm{C})}

D) FTC(W)\vec{F}_{T}^{\mathrm{C}(W)}

E) FKFW(R)\vec{F}_{K F}^{\mathrm{W}(R)}

F) Other (specify)
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80
A small car pushes on a disabled truck, accelerating it slowly forward. Each exerts a force on the other as a result of their contact interaction. Which vehicle exerts the greater force on the other?

A) The car
B) The truck
C) Both forces have the same magnitude.
D) The truck doesn't exert any force on the car.
E) One needs more information to answer.
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