Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A cyclist is moving at a constant power of $400\,\text{W}$ along a straight road inclined at $2^\circ$ to the horizontal. The combined mass of the cyclist and cycle is $80\,\text{kg}$. Neglecting all resistance to motion, find, correct to $1$ decimal place, the cyclist’s acceleration when he is travelling
(i)[2]
up the slope at $4\,\text{m}\,\text{s}^{-1}$.
(ii)[3]
down the slope at $4\,\text{m}\,\text{s}^{-1}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Driving force is $400/4$” …