Question

A block of mass m = 2.0 kg is pushed to the right with initial speed vi = 10.0 m/s. Its path is on the frictionless surface except for the horizontal section BC of length L = 10.0 m where the coefficient of the kinetic friction is µk = 0.2. The indicated height h = 2.0 m, the spring constant k = 103 N/m.m4 Figure 6: Problem 1.(a) What is the kinetic energy of the block at point A? (3pt)

(b) What is the speed of the block and its kinetic energy at point B? (4pt)

(c) What is the kinetic energy of the block at point C? (5pt)

(d) What is the maximum compression length of the spring? (3pt)

(e) On its return trip, where on the horizontal section to the left of point C will the block stop? (5pt)

Bonus: What should be the initial speed of the block at which it will stop just before reaching point B? (3pt)

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