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The object of mass m = 3 kg is at the bottom of the incline, which is at the angle theta = 65 degrees with respect to horizontal. The object has initial speed of v0 = 4 m/s and begins slide up the incline. There is a friction between the object and the incline. The coefficient of kinetic friction = 0.2. The object moves up the incline and eventually stops under the influence of friction and its own weight.
Find:
(a) how high up the incline (in m, relative to its original position) the object slides before stopping
(b) work (in J) done by the kinetic friction when the object moves up the incline
(c) work (in J) done by the normal force when the object moves up the incline
(d) work (in J) done by the gravity when the object moves up the incline
(e) when the object reaches the highest point on the incline it begins to slide back down, find object's speed (in m/s) at the bottom of the incline
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