What Determines the Maximum Compression of a Spring in an Elastic Collision?

[phizics09]

Homework Statement

A 1 kg cart is at the top of a frictionless ramp as shown. It rolls down and makes an elastic collision with a stationary 3 kg cart at the bottom. The spring constant is 400 N/m. What is the maximum compression of the spring? How far up the ramp will the first cart travel after the collision?

The Attempt at a Solution

I got part a, but I don't know how to do part b.

Thanks!

 

[SammyS]

Homework Statement

A 1 kg cart is at the top of a frictionless ramp as shown. It rolls down and makes an elastic collision with a stationary 3 kg cart at the bottom. The spring constant is 400 N/m. What is the maximum compression of the spring? How far up the ramp will the first cart travel after the collision?

The Attempt at a Solution

I got part a, but I don't know how to do part b.

Thanks!

No figure.

Not enough detail given -- especially without the figure !

 

[phizics09]

sorry i forgot to attach the picture !

 

[SammyS]

How did you find the maximum compression of the spring? --- in detail.