A box slides from rest down a frictionless ramp inclined at 32.⁰ with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 1.00 x 10⁴ N/m.

 If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression (in m) of the spring when the box comes to rest.

point of release compression of spring