(i)[4]
Find the value of $F$.
(ii)[2]
At the bottom of the hill, the cyclist’s speed is $7\,\mathrm{m\,s^{-1}}$. Find how far up the hill the cyclist travels before coming to rest.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A cyclist is pushing with a steady driving force of magnitude $F\,\mathrm{N}$ as he travels up a straight hill that makes an angle $\alpha$ with the horizontal, where $\sin\alpha = \frac{36}{325}$. The cyclist experiences a constant resistive force of $32\,\mathrm{N}$ opposite the motion. The combined weight of the cyclist and his bicycle is $780\,\mathrm{N}$. The cyclist’s acceleration is $-0.2\,\mathrm{m\,s^{-2}}$.