Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A car with mass 1600 kg moves up a slope that makes an angle of $\sin^{-1} 0.08$ with the horizontal. A steady resistive force of 240 N acts on the car.
(a)[3]
The car is moving at a constant speed of $32\,\text{m s}^{-1}$. Determine the power of the car’s engine.
(b)[3]
Determine the acceleration of the car when its speed is $24\,\text{m s}^{-1}$ and the engine is operating at $95\%$ of the power found in (a).
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly resolve the forces up the slope to obtain the driving force, e.g. $DF=240+1600\times0.08$” …