A 2.5 kg box is held released from rest 1.5 meters above the ground and slides down a frictionless ramp. It slides across a floor that is frictionless, except for a small section 0.5 meters wide that has a coefficient of kinetic friction of 0.4. At the left end, is a spring with spring constant 250 N/m. The box compresses the spring, and is accelerated back to the right. What is the speed of the box at the bottom of the ramp? What is the maximum distance the spring is compressed by the box? What is the maximum height to which the box returns on the ramp?
