Q.

A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 ms-1. To give an initial upward acceleration of 20 ms-2, the amount of gas ejected per second to supply the needed thrust will be (Take,9 = 10 ms-2)

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a

127.5 kgs-1

b

187.5 kgs-1

c

185.5 kgs-1

d

137.5 kgs-1

answer is B.

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Detailed Solution

F=udmdt=m(g+a)⇒  dmdt=m(g+a)u=5000×(10+20)800=187.5kgs-1
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A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 ms-1. To give an initial upward acceleration of 20 ms-2, the amount of gas ejected per second to supply the needed thrust will be (Take,9 = 10 ms-2)