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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 acceleration 4.9 m/s2 will be :

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a

12.25 kg/s

b

17 .5 kg/s

c

7 .35 kg/s

d

5.2 kg/s

answer is C.

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Detailed Solution

Here,thrust=vdmdt=(2000)dmdt Forrocket, vdmdt=m(g+a)⇒ 2000dmdt=1000(9.8+4.9)⇒ dmdt=7.35kg/s

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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 acceleration 4.9 m/s2 will be :