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Q.

A 5000 kg rocket is set for vertical firing. The exhaust speed is  800 ms1. To give an initial upward acceleration of  20 ms2, the amount of gas ejected per second to supply the needed thrust will be (g=10 ms2) 

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a

185.5 kgs-1

b

137.5 kgs-1

c

127.5 kgs-1

d

187.5 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
=187.5kg/s

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