A 1.37-kg block is held in place against the spring by a 74-N horizontal externa

Question

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 vi-1.2 m/s upon separation from the spring. The block descends a ramp and has a velocity v21.4 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 vj 1.4m/s at C. The block moves on to D, where it stops. The initial compression of the spring is closest to: Please include a step by step answer! y ste

Explanation / Answer

PE = dKE
mgh = 0.5*m*(vf^2 - vi^2)

The m's cancel

So ,

h = 0.5*(vf^2 - vi^2)/g = 0.5x(1.42 - 1.22 )/9.8 = 0.0265m

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