Spring forces. A block with mass m is placed against the spring on an incline wi

Question

Spring forces.

A block with mass m is placed against the spring on an incline with angle 0, and a coefficient of kinetic friction ftk. (The block is not attached to the spring.) The spring, with spring constant A, is compressed by distance d from its equilibrium position and then released. The block moves up the incline. Assuming the block moves passed the point of relaxed spring, find the work done by the spring force during block's motion up the incline, in terms of m, theta t muk,k,d,g, and numerical constants, as needed. Assuming the block stops at distance L along the incline, find the work done by the normal force on the block, in terms of m, theta, muk, k, d, g, and numerical constants, as needed. Assuming the block stops at distance L along the incline, from the released point, find the work done by gravitational force (weight of the block) on the block, in terms of m, theta, muk ,k,d,L, g, and numerical constants, as needed. Assuming the block stops at distance L along the incline, from the released point, find the work done by the friction on the block, in terms of m, theta, muk, d, L, g, and numerical constants, as needed. How far along the incline, L, is the highest point from the release point, in terms of m, theta, muk, A, d, g, and numerical constants, as needed.

Explanation / Answer

a) k(d+mgsin?)^2 / 2

b) zero

c) -mgsin?L

d) -umgcos?L

e)L = k(d+mgsin?)^2 /2(mdsin?+umgos?)

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