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A 3.0 kg block slides down a frictionless wedge of height of 3.0 meters starting from...

A 3.0 kg block slides down a frictionless wedge of height of 3.0 meters starting from rest. It then traverses a 2.0 meter rough patch with a coefficient of kinetic friction 0.35. It then gets to a smooth area where it compresses a horizontal spring of spring constant 50 N/m.

a. How much is the spring compressed when the mass briefly comes to a stop?

b. How high up the ramp does the mass make it when it makes it back to the left?

c. How many times does the mass completely traverse the rough spot?

d. How far from the left side of the rough stop is the mass when it finally comes to rest on the rough spot?

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