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

Energy, work and power — practice question

A cyclist is moving at a constant power of $400\,\text{W}$ along a straight road inclined at $2^\circ$ to the horizontal. The combined mass of the cyclist and cycle is $80\,\text{kg}$. Neglecting all resistance to motion, find, correct to $1$ decimal place, the cyclist’s acceleration when he is travelling
(i)[2]

up the slope at $4\,\text{m}\,\text{s}^{-1}$.

(ii)[3]

down the slope at $4\,\text{m}\,\text{s}^{-1}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Driving force is $400/4$

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