Chapter 10 Prelecture

25 July 2022
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A
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Gravitational potential energy is... A. mass times the acceleration due to gravity times vertical position. B. velocity per unit mass. C. the area under a gravity force-versus-time graph. D. the gravitation constant times mass-squared divided by distance-squared. C. 1/2 mass times speed-squared.
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3
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Mechanical energy is 1 the energy due to internal moving parts. 2 the energy of motion. 3 the sum of kinetic energy plus potential energy. 4 the energy of position. 5 the sum of kinetic, potential, thermal, and elastic energy.
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5
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For conservative forces, Force can be found as being the negative of the derivative of 1 kinetic energy. 2 momentum. 3 work. 4 impulse. 5 potential energy.
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B
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Rank in order, from largest to smallest, the gravitational potential energies of the balls. A 1 > 2 = 4 > 3 B 3 > 2 = 4 > 1 C 3 > 2 > 4 > 1 D 1 > 2 > 3 > 4
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3
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As the projectile goes upward, what energy changes take place? 1 Both kinetic and potential energy decrease. 2 Both kinetic and potential energy increase. 3 Kinetic energy decreases; potential energy increases. 4 Kinetic energy increases; potential energy decreases.
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4
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At the top point of the flight, what can be said about the projectile's kinetic and potential energy? 1 Both kinetic and potential energy are at their maximum values. 2 Both kinetic and potential energy are at their minimum values. 3 Kinetic energy is at a maximum; potential energy is at a minimum. 4 Kinetic energy is at a minimum; potential energy is at a maximum.
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4
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The potential energy of the object at the moment of launch __________. 1 is negative 2 is positive 3 is zero 4 depends on the choice of the "zero level" of potential energy
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3
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Suppose our experimenter repeats his experiment on a planet more massive than Earth, where the acceleration due to gravity is g=30 m/s2. When he releases the ball from chin height without giving it a push, how will the ball's behavior differ from its behavior on Earth? 1 It will take more time to return to the point from which it was released. 2 Its mass will be greater. 3 It will take less time to return to the point from which it was released. 4 It will smash his face. 5 It will stop well short of his face.
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2
2
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The force acting on the particle at point A is __________. 1 directed to the right 2 directed to the left 3 equal to zero
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1
1
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The force acting on the particle at point C is __________. 1 directed to the right 2 directed to the left 3 equal to zero
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3
3
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The force acting on the particle at point B is __________. 1 directed to the right 2 directed to the left 3 equal to zero
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3
3
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The acceleration of the particle at point B is __________. 1 directed to the right 2 directed to the left 3 equal to zero
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2
2
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If the particle is located slightly to the left of point B, its acceleration is __________. 1 directed to the right 2 directed to the left 3 equal to zero
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1
1
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If the particle is located slightly to the right of point B, its acceleration is __________. 1 directed to the right 2 directed to the left 3 equal to zero
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BF
BF
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Name all labeled points on the graph corresponding to unstable equilibrium.
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DH
DH
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Name all labeled points on the graph corresponding to stable equilibrium.
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BDFH
BDFH
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Name all labeled points on the graph where the acceleration of the particle is zero.
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AE
AE
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Name all labeled points such that when a particle is released from rest there, it would accelerate to the left.
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A
A
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Consider points A, E, and G. Of these three points, which one corresponds to the greatest magnitude of acceleration of the particle?
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D
D
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What point on the graph corresponds to the maximum kinetic energy of the moving particle?
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B
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At what point on the graph does the particle have the lowest speed?
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X
X
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At which of the three points labeled in the figure is the magnitude of the force on the particle greatest?
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4
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Which, if any, of the following statements concerning the work done by a conservative force is NOT true? 1 It can always be expressed as the difference between the initial and final values of a potential energy function. 2 When the starting and ending points are the same, the total work is zero. 3 It is independent of the path of the body and depends only on the starting and ending points. 4 All of the above statements are true.
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N
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If the force on a particle at some point in space is zero, must its potential energy also be zero at that point? Y/N
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N
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If the potential energy of a particle at some point in space is zero, must the force on it also be zero at that point? Y/N
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C
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A roller-coaster car rolls down a frictionless track, reaching speed v_0 at the bottom. If you want the car to go twice as fast at the bottom, by what factor must you increase the height of the track? A You must increase the track height by a factor of 2. B You must increase the track height by a factor of 3. C You must increase the track height by a factor of 4.
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N
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Can kinetic energy ever be negative? Y/N
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Y
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Can gravitational potential energy ever be negative? Y/N
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3
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Is it possible for a system to have negative potential energy? 1 Yes, as long as the total energy is positive. 2 No, because this would have no physical meaning. 3 Yes, since the choice of the zero of potential energy is arbitrary. 4 Yes, as long as the kinetic energy is positive. 5 No, because the kinetic energy of a system must equal its potential energy.
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2
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Upon what basic quantity does kinetic energy depend? 1 Position 2 Motion 3 Size 4 Force
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4
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Upon what basic quantity does potential energy depend? 1 Force 2 Size 3 Motion 4 Position
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1/4
1/4
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The same ball is shot straight up a second time from the same gun, but this time the spring is compressed only half as far before firing. How far up does the ball go this time?
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2
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The work-energy theorem states that a force acting on a particle as it moves over a ______ changes the ______ energy of the particle if the force has a component parallel to the motion. 1 distance / potential 2 distance / kinetic 3 vertical displacement / potential 4 none of the above
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3
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To calculate the change in kinetic energy, you must know the force as a function of _______. The work done by the force causes the kinetic energy change. 1 acceleration 2 work 3 position 4 potential energy
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1
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To illustrate the work-energy concept, consider the case of a stone falling from x_i to x_f under the influence of gravity. Using the work-energy concept, we say that work is done by the gravitational _____, resulting in an increase of the ______ energy of the stone. 1 force / kinetic 2 potential energy / potential 3 force / potential 4 potential energy / kinetic
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3
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Rather than ascribing the increased kinetic energy of the stone to the work of gravity, we now (when using potential energy rather than work-energy) say that the increased kinetic energy comes from the ______ of the _______ energy. 1 work / potential 2 force / kinetic 3 change / potential
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1
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This process happens in such a way that total mechanical energy, equal to the ______ of the kinetic and potential energies, is _______. 1 sum / conserved 2 sum / zero 3 sum / not conserved 4 difference / conserved