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## Homework Statement

Two carts of equal mass, m = 0.300 kg, are placed on a frictionless track that has a light spring of force constant k = 48.9 N/m attached to one end of it. The red cart is given an initial velocity of v0 = 3.13 m/s to the right, and the blue cart is initially at rest. If the carts collide elastically, find the magnitude of the velocity of the red cart just after the first collision. Find the magnitude of the velocity of the blue cart just after the first collision.

Find the maximum compression in the spring.

## Homework Equations

pe=1/2*k*change in x

m1v1=m2v2

## The Attempt at a Solution

THe velocity of the red cart after the first collision=0 m/s

the velocity of the blue cart after the first collison=3.13 m/s

I don't know how to find the maximum compression in the spring... Please help. Thanks.