A spring with a constant of #4 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #6 kg# and speed of #3 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
Kinetic energy of the object just before hitting the spring:
Spring potential energy:
Where k is the spring constant and x is the spring change in length.
So the spring will move 3.7m.