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Question

PSLV launches a rocket which is ejecting gas with a speed of 100 m/s w.r.t the rocket and the rate of ejection of gas from the rocket is 400 kg/s. If the mass of the rocket is 2000 kg, calculate the initial acceleration of the rocket. [Take g=10 m/s2]

A
10 m/s2
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B
20 m/s2
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C
5 m/s2
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D
15 m/s2
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Solution

The correct option is A 10 m/s2Given, Mass of the rocket = 2000 kg Relative speed of gas ejected from the rocket v=−100 m/s (Taking downward direction -ve) Rate of ejection of gas =400 kg/s=dMdt As we know, Ma=Fext+vdMdt=−Mg−vdMdt ⇒2000×a=−2000×10−(−100)×400 ⇒a=10 m/s2

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