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A rocket of mass 20 kg has 180 kg of fuel.The exhaust velocity of fuel is 1.6km/sec.Calculate the ultimate velocity of the rocket gained,when the rate of consumption of fuel is 2kg/sec.
Dear ramya bhaskar
Velocity of rocket is given as
v=u ln(M/M-rt)
wher M is the total mass of rocket + fuel at t=0 sec = 20 +180 =200 kg
and r rate of fuel consumption =2kg/sec
u is the velocity of gas ejection w.r.t rocket = 1.6 km/sec
ultimate velocity is achieved when all the fuel will burn
ie. M-rt =20 kg
so v= 1.6 ln(180/20)
=3.515 km/sec
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