(a)[3]
Find the magnitude of the constant resistance to motion acting on the cyclist.
(b)[2]
With the power and resistance to motion unchanged, find the steady speed the cyclist could keep when travelling up the hill.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A cyclist travels along a straight horizontal road. The combined mass of the cyclist and his bicycle is $90\,\text{kg}$. The cyclist produces a power of $250\,\text{W}$. At the instant when the cyclist’s speed is $5\,\text{m s}^{-1}$, his acceleration is $0.1\,\text{m s}^{-2}$.