A glider with mass m=0.200kg sits on a frictionless horizontal air track, connected to a spring with force constant k=5.00N/m. The glider is released from rest with the spring stretched 0.100 m.

Question

-What is the displacement x of the glider from its equilibrium position when its speed is 0.20 m/s?

Answer 1

1/2 k x^2 = 1/2 m v^2
so x = sqrt(m v^2/k) = sqrt(.2*.2^2/5)