A sled is being pulled across a horizontal patch of snow. Friction is negligible

Question

A sled is being pulled across a horizontal patch of snow. Friction is negligible. The pulling force points in the same direction as the sled's displacement, which is along the +x axis. As a result, the kinetic energy of the sled increases by 41.3 percent. By what percentage would the sled's kinetic energy have increased if this force had pointed 54.1

Explanation / Answer

Let the force is F and the initial energy of sled is 100 J if it move s meter in the direction of force =>F x s = 41.3 . -----------------(i) In the second case The force component in the direction of displacement will be Fcos68 =>Delta E = W = Fcos54.1 x s = F x s x cos54.1 = 41.3 . x cos54.3 == 24.1 J =>Delta E = 24.1%

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