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

Energy, work and power — practice question

A cyclist travels on a straight, level road. The combined mass of the cyclist and her bicycle is $70\text{ kg}$. At the moment when her speed is $4\text{ m s}^{-1}$, her acceleration is $0.3\text{ m s}^{-2}$. A steady resistive force of magnitude $30\text{ N}$ acts.
(a)[3]

Calculate the power developed by the cyclist.

(b)[2]

Calculate the change in kinetic energy.

(c)[3]

Use an energy method to determine $d$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies Newton’s Second Law, e.g. $F-30=70\times0.3$

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