A rocket burns 0.4 kg of fuel per second and ejects out gas with a velocity of 8 km s^-1. Calculate the force exerted by the ejected gas on the rocket.

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Solution

Step 1: Given data
Rate of change of mass of fuel $= 0.4 k g / s$
The velocity of gas when ejecting out $= 8 k m / s = 8000 m / s$ [Since, 1 km= 1000 m ]
Step 2: Finding the force exerted by the ejected gas on the rocket
The force $F$ exerted by the ejected gas on the rocket can be given as below:
$F =$ Rate of change of mass of fuel $\times$ Velocity of gas when ejecting out
Substitute the given values.
$F = 0.4 k g / s \times 8000 m / s$
$F = 3200 N$
Thus, the force exerted by the ejected gas on the rocket is 3200 N.

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