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Q.

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

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a

127.5kg s-1

b

137.5kg s-1

c

187.5kg s-1

d

185.5kg s-1

answer is C.

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Detailed Solution

F=dpdt,m(g+a)=dmdtv⇒dmdt=m(g+a)v
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A 5000 kg rocket is set for vertical firing.The exhaust speed is 800 ms-1.To give an upward acceleration of 20 ms-2 , the amount of gas ejected per second to supply the needed thrust is (g =10ms-2 )