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Physics (AS & A Level) · Oct / Nov 2017 · Paper 12 · Question 17

9702Energy conservation

A constant force $F$, acting on a car of mass $m$, moves the car up a slope through a distance $s$ at constant velocity $v$. The angle of the slope to the horizontal is $\alpha$. What is the ratio $\dfrac{\text{gravitational potential energy gained by car}}{\text{work done by force } F}$?

  1. A$\dfrac{mgs\sin\alpha}{Fv}$
  2. B$\dfrac{mv}{Fs}$
  3. C$\dfrac{mv^2}{2Fs}$
  4. D$\dfrac{mg\sin\alpha}{F}$

As printed in the paper

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Correct answer: D. $\dfrac{mg\sin\alpha}{F}$

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