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A 1.79-kg block is held in place against the spring by a 43-N horizontal externa

ID: 1307557 • Letter: A

Question

A 1.79-kg block is held in place against the spring by a 43-N horizontal external force (see the figure). The external force is removed, and the block is projected with a velocity v 1 = 1.2 m/s upon separation from the spring. The block descends a ramp and has a velocity v 2 = 1.8 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 0.34. The velocity of the block is v 3 = 1.4 m/s at C. The block moves on to D, where it stops. The height h of the ramp is closest to

Explanation / Answer

The KE at the bottom of the ramp will equal the KE + PE at the top

.5mv2 + mgh = .5mv2 (mass cancels)

.5(1.2)2 + (9.8)(h) = .5(1.8)2

h = .0918 m which is 9.18 cm