1. (1 point) A cart of mass m1 = 0.500 kg moves with a velocity of 0.900 m/s to

Question

1. (1 point) A cart of mass m1 = 0.500 kg moves with a velocity of 0.900 m/s to the right on a

frictionless track. It collides with another cart of mass m2 = 0.500 kg at rest. Car m1 stops and m2

moves in the direction that m1 was traveling. What is the magnitude and direction of the velocity

of m2?

2. Cart 1 with mass 4.44 kg collides with a stationary cart (cart 2) of mass 2.81 kg. Before the

collision cart 1 has a velocity of 4.94 m/s to the right. After the collision, cart 1 has a velocity

1.11 m/s to the right and cart 2 has a velocity 6.05 m/s to the right.

a. (2 points) What is the total momentum of the two cart system before the collision?

b. (2 points) What is the total kinetic energy of the two cart system before the collision?

c. (2 points) What is the total momentum of the two cart system after the collision?

d. (2 points) What is the total kinetic energy of the two cart system after the collision?

e. (1 point) Is this collision elastic or inelastic? Be wary of round-off errors here.

Explanation / Answer

1.

Since the two objects do not stick together, they undergo an elastic collision so kinetic energy is conserved as well as momentum:

m1v10 + m2v20 = m1v1f + m2v2f

v20 = 0
v1f = 0

m1v10 = m2v2f

m1 = m2 so:

v10 = v2f

So the final velocity of m2 is 0.900 m/s to the right as well

2.

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