A wooden block with mass 1.55kg is placed against a compressed spring at the bot

Question

A wooden block with mass 1.55kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 31.0? (point A). When the spring is released, it projects the block up the incline. At point B, a distance of 6.05m up the incline from A, the block is moving up the incline at a speed of 6.30m/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and incline is ?k = 0.50. The mass of the spring is negligible.

Part A

Calculate the amount of potential energy that was initially stored in the spring.

Take free fall acceleration to be 9.80m/s2 .

Explanation / Answer

energy stored in spring = 0.5*1.55*6.3*6.3 + 1.55*9.8*sin31 *6.05 + 0.5*1.55*9.8*cos31*6.05
= 117.478 J

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