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  4. A rocket of mass 1000 kg is exhaust gases at a rate of 4 kg/s with a velocity 3000 m/s. The thrust developed on the rocket is :

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Q. A rocket of mass $1000\, kg$ is exhaust gases at a rate of $4\, kg/s$ with a velocity $3000\, m/s$. The thrust developed on the rocket is :

BITSATBITSAT 2006

Solution:

$m =1000\, kg$
$\frac{\Delta m }{\Delta t }=4\, kg / s,\, v =3000\, m / s$
Thrust on the rocket
$F =- v \frac{\Delta M }{\Delta t }$
$=-3000 \times 4$
$=-12000\, N$
(Negative sign indicates that thrust applied in a direction opposite to the direction of escaping gas)