A 200 kg cart moving 5 m/s to the right collides with a 150 kg cart moving to th

Question

A 200 kg cart moving 5 m/s to the right collides with a 150 kg cart moving to the left at 4 m/s. After the collision, the
carts stick together. a) find the velocity with which the carts move off after the collision (speed and direction). b)
Show, using a calculation, whether or not the collision is elastic (you may NOT assume the answer. You must show it
with a calculation). c) Discuss whether or not your answers to parts a and b are reasonable. Give specific reasons why
or why not you think they are reasonable.

Explanation / Answer

a.

Use the law of conservation of momentum to find the final velocity.

v= m1u1-m2u2/m1+m2

= 200*5-150*2/200+150

= 2 m/s

B.

We have the relation

e= -(v-v)/u2-u1 =0

So the collision is inelastic collision

C.

Mass of the first cart is greater than the cart 2

So there is a chance to both are moving to the right after ccollision, hence the results are reasonable

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