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## Homework Statement

there is a problem in my final that I can't actually remember the values of the variables but I got 1 out of 4 grade in it and I was wondering what's wrong with my solution

I am just going to write the variables because I don't know the numbers:

a spring compressed equal distances by two boxes of the same mass the spring is not attached to the boxes when it is released one of the boxes moves with a velocity v calculate the total compression distance of the spring

## Homework Equations

## The Attempt at a Solution

by the conservation of momentum v

_{1}=-v

_{2}and they have the same magnitude

E1=E2

.5k x

_{T}^2= .5m(v

_{1})^2 + .5m(v

_{2})^2= mv^2

x

_{T}=((2mv^2)/k)^.5

(v_1 ,m and k are given and the spring's mass is negligible )