Question 1

Two particles, each of mass m, are moving with velocity   and   The kinetic energy at the center-of-mass is

Accepted Answer

A)    mv2 
B)  mv2 
C)    mv2 
D)  2mv2 
E)  4mv2 
A)    mv2 
B)  mv2 
C)    mv2 
D)  2mv2 
E)  4mv2

Question 2

A superball of mass m is dropped vertically from a height, h. If the impact time with the floor is $\Delta$
t, what is the average force on the ball? (Assume that the superball bounces back to the same height.)

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of the above 
A)    
B)    
C)    
D)    
E)  none of the above

Question 3

A bullet, m = 0.500 kg, traveling with a velocity of 100 m/s strikes and embeds itself in the bob of a ballistic pendulum, M = 9.50 kg. The combined masses rise to a height h = 1.28 m. The speed Vf of the combined masses immediately following impact is

Accepted Answer

A)  5.00 m/s 
B)  5.26 m/s 
C)  9.10 m/s 
D)  10.0 m/s 
E)  22.3 m/s 
A)  5.00 m/s 
B)  5.26 m/s 
C)  9.10 m/s 
D)  10.0 m/s 
E)  22.3 m/s

Question 4

Two masses, m1 and m2, are moving with velocities   and   when they collide. After the collision, the final velocities are   and   . Which of the following expressions is true? (The subscripts x and y represent the components along x and y respectively.)

Accepted Answer

A)    
B)    
C)    
D)    
E)  (
A)  and (
B)  
A)    
B)    
C)    
D)    
E)  (
A)  and (
B)

Question 5

A railway car having a total mass of 5.8 $\times$ 105 kg, moving with a speed of 9.1 km/h, strikes another car that has a mass of 8.7 $\times$ 105 kg and is initially at rest. The speed of the coupled cars after the collision is

Accepted Answer

A)  9.1 km/h 
B)  7.2 km/h 
C)  3.6 km/h 
D)  1.8 km/h 
E)  4.2 km/h 
A)  9.1 km/h 
B)  7.2 km/h 
C)  3.6 km/h 
D)  1.8 km/h 
E)  4.2 km/h

Question 6

Two students, sitting on frictionless carts, push against each other. Both are initially at rest and the mass of student 1 and the cart is M, and that of student 2 and the cart is 1.5M. If student 1 pushes student 2 so that she recoils with velocity   , what is the change in momentum of the two students?

Accepted Answer

A)    
B)    
C)  0 
D)    
E)    
A)    
B)    
C)  0 
D)    
E)

Question 7

Two equal masses travel in opposite directions with equal speeds. They collide in a collision that is between elastic and inelastic. Just after the collision, their velocities are

Accepted Answer

A)  zero. 
B)  equal to their original velocities. 
C)  equal in magnitude but opposite in direction to their original velocities. 
D)  less in magnitude and in the same direction as their original velocities. 
E)  less in magnitude and opposite in direction to their original velocities. 
A)  zero. 
B)  equal to their original velocities. 
C)  equal in magnitude but opposite in direction to their original velocities. 
D)  less in magnitude and in the same direction as their original velocities. 
E)  less in magnitude and opposite in direction to their original velocities.

Two particles, each of mass m, are moving with velocity and The kinetic energy at the center-of-mass is

A superball of mass m is dropped vertically from a height, h. If the impact time with the floor is $\Delta$ t, what is the average force on the ball? (Assume that the superball bounces back to the same height.)

A bullet, m = 0.500 kg, traveling with a velocity of 100 m/s strikes and embeds itself in the bob of a ballistic pendulum, M = 9.50 kg. The combined masses rise to a height h = 1.28 m. The speed V_f of the combined masses immediately following impact is

Two masses, m₁ and m₂, are moving with velocities and when they collide. After the collision, the final velocities are and . Which of the following expressions is true? (The subscripts x and y represent the components along x and y respectively.)

A railway car having a total mass of 5.8 $\times$ 10⁵ kg, moving with a speed of 9.1 km/h, strikes another car that has a mass of 8.7 $\times$ 10⁵ kg and is initially at rest. The speed of the coupled cars after the collision is

Two equal masses travel in opposite directions with equal speeds. They collide in a collision that is between elastic and inelastic. Just after the collision, their velocities are

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

Exam 8: Systems of Particles and Conservation of Linear Momentum

Two particles, each of mass m, are moving with velocity and The kinetic energy at the center-of-mass is

A superball of mass m is dropped vertically from a height, h. If the impact time with the floor is Δ\DeltaΔ t, what is the average force on the ball? (Assume that the superball bounces back to the same height.)

A bullet, m = 0.500 kg, traveling with a velocity of 100 m/s strikes and embeds itself in the bob of a ballistic pendulum, M = 9.50 kg. The combined masses rise to a height h = 1.28 m. The speed Vf of the combined masses immediately following impact is

Two masses, m1 and m2, are moving with velocities and when they collide. After the collision, the final velocities are and . Which of the following expressions is true? (The subscripts x and y represent the components along x and y respectively.)

A railway car having a total mass of 5.8 ×\times× 105 kg, moving with a speed of 9.1 km/h, strikes another car that has a mass of 8.7 ×\times× 105 kg and is initially at rest. The speed of the coupled cars after the collision is

Two equal masses travel in opposite directions with equal speeds. They collide in a collision that is between elastic and inelastic. Just after the collision, their velocities are

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 superball of mass m is dropped vertically from a height, h. If the impact time with the floor is $\Delta$ t, what is the average force on the ball? (Assume that the superball bounces back to the same height.)

A bullet, m = 0.500 kg, traveling with a velocity of 100 m/s strikes and embeds itself in the bob of a ballistic pendulum, M = 9.50 kg. The combined masses rise to a height h = 1.28 m. The speed V_f of the combined masses immediately following impact is

Two masses, m₁ and m₂, are moving with velocities and when they collide. After the collision, the final velocities are and . Which of the following expressions is true? (The subscripts x and y represent the components along x and y respectively.)

A railway car having a total mass of 5.8 $\times$ 10⁵ kg, moving with a speed of 9.1 km/h, strikes another car that has a mass of 8.7 $\times$ 10⁵ kg and is initially at rest. The speed of the coupled cars after the collision is