Question

For a Rocket propulsion velocity of exhaust gases relative to rocket is 1.6 km/s. If mass of rocket system is 800 kg, then the rate of fuel consumption for a rocket to rise up with an acceleration 4.2 m/s² will be :- (1) 12.25 kg/s (2) 17.5 kg/s (3) 7 kg/s (4) 5.2 kg/s
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Answer 1

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For a Rocket propulsion velocity of exhaust gases relative to rocket is 2 km/s. If mass of rocket system is 1000 kg, then the rate of fuel consumption for a rocket to rise up with an acceleration 4.9 m/s

2

will be

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Answer

Correct option is

C

7.35 kg/s

Relative velocity of exhaust gas V=2 km/s=2000 m/s

Thrust force F

t

=V

dt

dm

=2000×

dt

dm

Acceleration a=4.9 m/s

2

Mass of rocket M=1000 kg

Using Ma=F

t

−Mg

Or 1000×4.9=2000×

dt

dm

−1000×10

⟹

dt

dm

=7.35 kg/s

So, option C is correct.