Kinematics and springs

1. The problem statement, all variables and given/known data

A 4.0 kg block slides along a frictionless horizontal surface at 5.0 m/s. It runs into and compresses a spring with a spring constant of 200 N/m. How far does it compress the spring before it stops and changes direction?

2. Relevant equations

P.E. = 0.5 kx^2
K.E. = 0.5 mv^2

3. The attempt at a solution

x = sqrt (mv^2/k) = 0.707 m?
that's right.

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