A 1-kg block is resting against a light, compressed spring at the bottom of a rough plane inclined at an angle of 30°; the coefficient of kinetic friction between block and plane is µk = 0.1. Suppose the spring is compressed 10 cm from its equilibrium length. The spring is then released, and the block separates from the spring and slides up the incline a distance of only 2 cm beyond the spring's normal length before it stops. Determine
a) the change in total mechanical energy of the system and
b) the spring constant k.
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