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

Energy, work and power — practice question

A cyclist of mass $85\,\text{kg}$ and a bicycle of mass $20\,\text{kg}$ travel along a horizontal road while opposing a total resistance force of $40\,\text{N}$.
(main)[3]

Determine the total work done by the cyclist as the speed increases from $5\,\text{m s}^{-1}$ to $10\,\text{m s}^{-1}$ over a distance of $50\,\text{m}$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accept kinetic energy gain or work done against resistance, for example $\tfrac12 \times 105 \times (10^2-5^2)$ or $50 \times 40$

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