A cart of mass m = 3 kg carrying a spring and moving at speed v = 2.5 m/s hits a

Question

A cart of mass m = 3 kg carrying a  spring  and moving at speed v = 2.5 m/s hits  a stationary cart of mass M = 9 kg.  Assume all motion is along a line and the collision is totally elastic.

1)

Before the collision, what is the speed of the center of mass of  this system?

vcm =

2)

After the collision is over, what is the velocity of m?

vm =

3)

After the collision is over, what is the velocity of M?

vM =

4)

After the collision is over, what is the speed of the center  of mass of  this system?

vcm =

Explanation / Answer

Momentum is conserved.

Initial momentum = 3 * 2.5 = 7.5

Final momentum = 3 * vf3 9 * vf9
3 * vf3 9 * vf9 = 7.5
Let

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