A worker who is 1.5 m above the ground places a 50 kg crate on a curved, frictionless ramp. After sliding down the ramp, the crate slides for 5 m across a rough section of floor whose coefficients of kinetic and static friction between the crate and ramp are 0.17 and 0.20, respectively. After this, the crate strikes a bumper that acts as an ideal spring with spring constant 1500 N/m.
a) What is the speed of the crate just before it hits the spring?
b) What is the maximum compression of the spring?
c) On returning, does the crate reach the curved ramp?
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