Mathematics 9709 · AS & A Level · Energy, work and power

Energy, work and power — practice question

A straight ice track with a length of $50\,\text{m}$ is tilted at $14^\circ$ to the horizontal. A man sets off from the top of the track on a sledge, with speed $8\,\text{m s}^{-1}$. He goes down the sledge to the bottom of the track. The coefficient of friction between the sledge and the track is $0.02$.
(main)[4]

Determine the speed of the sledge and the man as they reach the bottom of the track.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applying Newton’s second law along the slope to form $(W/g)a = W\sin\alpha - 0.02W\cos\alpha$

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