A spring with a constant of #8 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #4 kg# and speed of #8 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
The object will lose all its kinetic energy and come to a stop when the spring is compressed the most. This means that the spring potential energy must increase by the same amount and this means that
which means that