A constant force $F$ is applied to a car of mass $m$, causing it to travel up a slope over a distance $s$ at constant velocity $v$. The angle of the slope to the horizontal is $\alpha$. The acceleration of free fall is $g$. Find the ratio $\frac{\text{gravitational potential energy gained by car}}{\text{work done by force }F}$?
- A$\frac{mgs\sin\alpha}{Fv}$
- B$\frac{mv}{Fs}$
- C$\frac{mv^2}{2Fs}$
- D$\frac{mg\sin\alpha}{F}$