If the force on a rocket, moving with a velocity of $400 \mathrm{~m} / \mathrm{s}$ is 320 N, then th

Question

If the force on a rocket, moving with a velocity of $400 \mathrm{~m} / \mathrm{s}$ is 320 N, then the rate of combustion of the fuel is

Professor PC Thomas Classes · Answer

Force $F = v \frac{dm}{dt}$. Given $F = 320 \mathrm{~N}$ and $v = 400 \mathrm{~m/s}$. Thus, the rate of combustion $\frac{dm}{dt} = \frac{F}{v} = \frac{320}{400} = 0.8 \mathrm{~kg/s}$.