A spring with a constant of #2 (kg)/(s^2)# is lying on the ground with one end attached to a wall. An object with a mass of #8 kg # and speed of # 5 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
Energy is conserved in this reaction.
Kinetic energy of the object is given by
Rearranging this to make
Putting in values the question gives us,