Use the picture to the right to answer the next question. A puck of mS1U1B11S1U1B0 and moving with velocity vS1U1B11S1U1B0 collides elastically with a second puck of mass mS1U1B12S1U1B0, which is initially at rest. After the collision, mS1U1B11S1U1B0 moves with velocity vS1U1B11S1U1B0' at an angle$\theta$ below the x axis and mS1U1B12S1U1B0 moves with velocity vS1U1B12S1U1B0' at an angle $\theta$ above the x axis. -The conservation of momentum along the x direction can be written as

A) m1 v1 = m1v1' cos $\alpha$ + m2v2' cos $\theta$ B) 0 = m1v1' cos $\alpha$ + m2v2' cos $\theta$ C) m1 v1 = m1v1' sin $\alpha$ + m2v2' sin $\theta$ D) 0 = m1v1' sin $\alpha$ + m2v2' sin $\theta$ E) none of the above A) m1 v1 = m1v1' cos $\alpha$ + m2v2' cos $\theta$ B) 0 = m1v1' cos $\alpha$ + m2v2' cos $\theta$ C) m1 v1 = m1v1' sin $\alpha$ + m2v2' sin $\theta$ D) 0 = m1v1' sin $\alpha$ + m2v2' sin $\theta$ E) none of the above

A) kinetic energy is conserved. B) linear momentum is conserved in the absence of external forces. C) both momentum and kinetic energy are conserved. D) neither momentum nor kinetic energy is conserved. E) the extent to which momentum and kinetic energy are conserved depends on the coefficient of restitution. A) kinetic energy is conserved. B) linear momentum is conserved in the absence of external forces. C) both momentum and kinetic energy are conserved. D) neither momentum nor kinetic energy is conserved. E) the extent to which momentum and kinetic energy are conserved depends on the coefficient of restitution.

Exam 8: Systems of Particles and Conservation of Linear Momentum

Two balls of equal mass are thrown against a massive wall with equal velocities. The first rebounds with a speed equal to its striking speed, and the second sticks to the wall. The impulse that the first ball transmits to the wall, relative to the second, is

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Question 21

Two masses M and 5M rest on a horizontal frictionless table with a compressed spring of negligible mass between them. When the spring is released, the energy of the spring is shared between the two masses in such a way that

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Question 22

A particle of mass m moving at 5.0 m/s in the positive x direction makes a glancing elastic collision with a particle of mass 2m that is at rest before the collision. After the collision, m moves off at an angle of 45º to the x axis and 2m moves off at 60º to the x axis. The speed of m after the collision is

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Question 23

The graph shows the momentum of a body as a function of time. The time at which the force acting on the body is greatest is

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Question 24

A 20-g bullet with an initial velocity of 3.0 $\times$ 10⁴ cm/s penetrates 6.0 cm into a stationary wall. The average force exerted on the bullet by the wall in bringing it to rest is approximately

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Question 25

A toy car of mass 2.0 kg moving to the right with a speed of 8.0 m/s collides perfectly inelastically with another toy car of mass 3.0 kg that is moving to the left with a speed of 2.0 m/s. Immediately after the collision the velocity of the system is

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Question 26

Use the picture to the right to answer the next question. A puck of m₁ and moving with velocity v₁ collides elastically with a second puck of mass m₂, which is initially at rest. After the collision, m₁ moves with velocity v₁' at an angle $\theta$ below the x axis and m₂ moves with velocity v₂' at an angle $\theta$ above the x axis. $Use the picture to the right to answer the next question. A puck of m1 and moving with velocity v1 collides elastically with a second puck of mass m2, which is initially at rest. After the collision, m1 moves with velocity v1' at an angle \theta below the x axis and m2 moves with velocity v2' at an angle \theta above the x axis. -The conservation of momentum along the x direction can be written as$ -The conservation of momentum along the x direction can be written as

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Question 27

In any and all collisions of short duration and for which it is true that no external forces act on the collision participants,

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Question 28

A particle with speed v₁ = 2.64 $\times$ 10⁶ m/s makes a glancing elastic collision with another particle that is at rest. Both particles have the same mass. After the collision, the struck particle moves off at 45º to v₁. The speed of the struck particle after the collision is approximately

(Multiple Choice)

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Question 29

For this question, assume that all velocities are horizontal and that there is no friction. Two skaters A and B are on an ice surface. A and B have the same mass M = 90.5 kg. A throws a ball with mass m = 200 g toward B with a speed v = 21.5 m/s relative to the ice. B catches the ball and throws it back to A with the same speed. After A catches the ball, his speed with respect to the ice is

(Multiple Choice)

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Question 30

The force exerted on a body of mass 10 kg varies with time according to F = 20t + 10 Where the units are SI. If the velocity of the body was zero at t = 0, its velocity at t = 5 s is

(Multiple Choice)

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Question 31

If a body moves in such a way that its linear momentum is constant, then

(Multiple Choice)

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Question 32

In a real collision,

(Multiple Choice)

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Question 33

The condition necessary for the Conservation of Linear Momentum in a given system is that

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Question 34

Two identical cars approach an intersection. One is traveling east at 18 m/s. The second is traveling north at 24 m/s. They collide violently, sticking together. Immediately after the crash they are moving

(Multiple Choice)

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Question 35

An object of mass M is moving with velocity V . Three smaller objects each of mass m are initially at rest. After the collision the small masses have velocities given by v( + ), v(2 - ), and v(2 - 2 ). If m = M/6 and v = V/3, then the final vector velocity of the mass M is

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Question 36

A 4.0-kg block, initially at rest, experiences a force that varies with time as shown in the figure. When t = 6.0 ms, the speed of the block is

(Multiple Choice)

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Question 37

Two equal masses travel in opposite directions with equal speed. If they collide in a perfectly elastic collision, then, just after the collision, their velocities will be

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Question 38

The balls shown in the figure are strung on a taut wire and slide without friction. If the balls are of equal mass, the diagram that best represents an elastic collision is

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Question 39

A pitcher throws a baseball with a velocity of 27 m/s. After being struck by a bat the ball travels in the opposite direction with a velocity of 40 m/s. If the ball has a mass of 0.11 kg and is in contact with the bat for 3.0 ms, the average force exerted by the bat on the ball is

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Question 40

Showing 21 - 40 of 107

Two balls of equal mass are thrown against a massive wall with equal velocities. The first rebounds with a speed equal to its striking speed, and the second sticks to the wall. The impulse that the first ball transmits to the wall, relative to the second, is

Two masses M and 5M rest on a horizontal frictionless table with a compressed spring of negligible mass between them. When the spring is released, the energy of the spring is shared between the two masses in such a way that

The graph shows the momentum of a body as a function of time. The time at which the force acting on the body is greatest is

A 20-g bullet with an initial velocity of 3.0 $\times$ 10⁴ cm/s penetrates 6.0 cm into a stationary wall. The average force exerted on the bullet by the wall in bringing it to rest is approximately

A toy car of mass 2.0 kg moving to the right with a speed of 8.0 m/s collides perfectly inelastically with another toy car of mass 3.0 kg that is moving to the left with a speed of 2.0 m/s. Immediately after the collision the velocity of the system is

In any and all collisions of short duration and for which it is true that no external forces act on the collision participants,

A particle with speed v₁ = 2.64 $\times$ 10⁶ m/s makes a glancing elastic collision with another particle that is at rest. Both particles have the same mass. After the collision, the struck particle moves off at 45º to v₁. The speed of the struck particle after the collision is approximately

The force exerted on a body of mass 10 kg varies with time according to F = 20t + 10 Where the units are SI. If the velocity of the body was zero at t = 0, its velocity at t = 5 s is

If a body moves in such a way that its linear momentum is constant, then

In a real collision,

The condition necessary for the Conservation of Linear Momentum in a given system is that

Two identical cars approach an intersection. One is traveling east at 18 m/s. The second is traveling north at 24 m/s. They collide violently, sticking together. Immediately after the crash they are moving

An object of mass M is moving with velocity V . Three smaller objects each of mass m are initially at rest. After the collision the small masses have velocities given by v( + ), v(2 - ), and v(2 - 2 ). If m = M/6 and v = V/3, then the final vector velocity of the mass M is

A 4.0-kg block, initially at rest, experiences a force that varies with time as shown in the figure. When t = 6.0 ms, the speed of the block is

Two equal masses travel in opposite directions with equal speed. If they collide in a perfectly elastic collision, then, just after the collision, their velocities will be

The balls shown in the figure are strung on a taut wire and slide without friction. If the balls are of equal mass, the diagram that best represents an elastic collision is

A pitcher throws a baseball with a velocity of 27 m/s. After being struck by a bat the ball travels in the opposite direction with a velocity of 40 m/s. If the ball has a mass of 0.11 kg and is in contact with the bat for 3.0 ms, the average force exerted by the bat on the ball is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

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Exam 8: Systems of Particles and Conservation of Linear Momentum

Two balls of equal mass are thrown against a massive wall with equal velocities. The first rebounds with a speed equal to its striking speed, and the second sticks to the wall. The impulse that the first ball transmits to the wall, relative to the second, is

Two masses M and 5M rest on a horizontal frictionless table with a compressed spring of negligible mass between them. When the spring is released, the energy of the spring is shared between the two masses in such a way that

The graph shows the momentum of a body as a function of time. The time at which the force acting on the body is greatest is

A 20-g bullet with an initial velocity of 3.0 ×\times× 104 cm/s penetrates 6.0 cm into a stationary wall. The average force exerted on the bullet by the wall in bringing it to rest is approximately

A toy car of mass 2.0 kg moving to the right with a speed of 8.0 m/s collides perfectly inelastically with another toy car of mass 3.0 kg that is moving to the left with a speed of 2.0 m/s. Immediately after the collision the velocity of the system is

In any and all collisions of short duration and for which it is true that no external forces act on the collision participants,

A particle with speed v1 = 2.64 ×\times× 106 m/s makes a glancing elastic collision with another particle that is at rest. Both particles have the same mass. After the collision, the struck particle moves off at 45º to v1. The speed of the struck particle after the collision is approximately

The force exerted on a body of mass 10 kg varies with time according to F = 20t + 10 Where the units are SI. If the velocity of the body was zero at t = 0, its velocity at t = 5 s is

If a body moves in such a way that its linear momentum is constant, then

In a real collision,

The condition necessary for the Conservation of Linear Momentum in a given system is that

Two identical cars approach an intersection. One is traveling east at 18 m/s. The second is traveling north at 24 m/s. They collide violently, sticking together. Immediately after the crash they are moving

An object of mass M is moving with velocity V . Three smaller objects each of mass m are initially at rest. After the collision the small masses have velocities given by v( + ), v(2 - ), and v(2 - 2 ). If m = M/6 and v = V/3, then the final vector velocity of the mass M is

A 4.0-kg block, initially at rest, experiences a force that varies with time as shown in the figure. When t = 6.0 ms, the speed of the block is

Two equal masses travel in opposite directions with equal speed. If they collide in a perfectly elastic collision, then, just after the collision, their velocities will be

The balls shown in the figure are strung on a taut wire and slide without friction. If the balls are of equal mass, the diagram that best represents an elastic collision is

A pitcher throws a baseball with a velocity of 27 m/s. After being struck by a bat the ball travels in the opposite direction with a velocity of 40 m/s. If the ball has a mass of 0.11 kg and is in contact with the bat for 3.0 ms, the average force exerted by the bat on the ball is

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Applications of Newtons Laws

Work and Energy

Conservation of Energy

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

A 20-g bullet with an initial velocity of 3.0 $\times$ 10⁴ cm/s penetrates 6.0 cm into a stationary wall. The average force exerted on the bullet by the wall in bringing it to rest is approximately

A particle with speed v₁ = 2.64 $\times$ 10⁶ m/s makes a glancing elastic collision with another particle that is at rest. Both particles have the same mass. After the collision, the struck particle moves off at 45º to v₁. The speed of the struck particle after the collision is approximately