A 2-kg block is released 4 m from a massless spring with a force constant k =

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A 2-kg block is released 4 m from a massless spring with a force constant k = 100 N/m that is fixed along a frictionless plane inclined at 30°, as shown in Figure. 

(a) Find the maximum compression of the spring. 

(b) If the plane is rough rather than frictionless, and the coefficient of kinetic friction between the plane and the block is 0.2, find the maximum compression. 

(c) For the rough plane, how far up the incline will the block travel after leaving the spring?

`4 m 2kg k = 100 N/m 30

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