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

Energy, work and power — practice question

An athlete with mass $84\,\text{kg}$ is moving along a straight road.
(a)[1]

At first, the road is level and he travels at a steady speed of $3\,\text{m s}^{-1}$. The athlete provides a constant power output of $60\,\text{W}$. Find the resistive force acting on the athlete.

(b)[6]

The athlete then goes up a $150\,\text{m}$ stretch of road that is inclined at $0.8^\circ$ to the horizontal. His speed at the beginning of this stretch is $3\,\text{m s}^{-1}$, and he now exerts a constant driving force of $24\,\text{N}$. Over this section, the total resistive force acting on the athlete has constant magnitude $13\,\text{N}$. Use an energy method to find the athlete's speed at the end of the $150\,\text{m}$ stretch of road.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Right resistive force $DF = \tfrac{60}{3} = 20\text{ N}$

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