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if the two stages of a rocket weights 100kg and 10 kg separately and contain 800kg and 90kg fuel separately what is the final velocity that can be achieved with an exhaust velocity of 1.5km/sec
The initial velocity of the rocket V0 = 0Velocity of the rocket after exhaustion of the forst stage is V = μ ln m0 / mHere,m0 = 100 + 10 + 800 +90 = 1000 kgm = 100 + 10 + 90 = 200 KgThus |V| = 2 ln 5 = 2 x 1.609 = 3.218 Km/sThe second stage becomes operative when the first is detached from it. μ0 = 3.218 Km/s m0 = 10 + 90 = 100 Kg m = 10 KgThus, |V| = 3.22 + 2ln (100 /10) = 3.22 + 2 X (2.3) = 7.82 X 10^3 m/s
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