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Q.

A 400 kg rocket is set for vertical firing. Exhaust speed of the gases is490 m/s . The rate at which gas is to be ejected to give an upward acceleration of ‘g’ to the rocket

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a

8 kg/s

b

16 kg/s

c

160 kg/s

d

1.6 kg/s

answer is D.

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Detailed Solution

m=400kg

V=490 m/s

When rocket is moving up we can have

Mg−upthrust=0

Mg=upthrust=dmdtV

dmdt=?

g=9.8m/s2

dmdt=mgV=400×9.8490=8kg/sdmdt=8kg/s

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