Physics - Center of Mass Question with Solution | TestHub

For a variable mass system like a rocket, the thrust force is given by the product of the exhaust velocity relative to the rocket and the rate of fuel consumption. The formula for thrust force is $F_{thrust}=v_e|\frac{dm}{dt}|$. Given $v_e$ as the exhaust velocity and $\frac{dm}{dt}=k$ as the constant rate of fuel consumption, the thrust force on the rocket is simply $k{v}_e$. This force acts upwards, counteracting gravity.