A spring with a constant of #6 (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?
Assuming no energy is lost, the energy stored by the spring will equal the kinetic energy beforehand.
Potential energy in a spring is
Kinetic energy is given by
If all the energy is conserved between the two,
The question asks for the extension,
We know from the question that