A 137-Kg Block Is Held in Place Against the Spring by by a 74-N

A 1.37-kg block is held in place against the spring by a 74-N horizontal external force (see the figure) . The external force is removed, and the block is projected with a velocity v₁ = 1.2 m/s upon separation from the spring. The block descends a ramp and has a velocity v₂ = 1.4 m/s at the bottom. The track is frictionless between points A and B. The block enters a rough section at B, extending to E. The coefficient of kinetic friction over this section is 0.24. The velocity of the block is v₃ = 1.4 m/s at C. The block moves on to D, where it stops. The initial compression of the spring is closest to:

A) 2.7 cm.
B) 1.4 cm.
C) 0.96 cm.
D) 5.3 cm.
E) 3.6 cm.

Correct Answer:

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