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.

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point of release compression of spring point of release compression of spring