Q.

A rocket of mass 20kg has 180 kg of fuel. The exhaust velocity of fuel is 1.6 km/sec. Calculate the ultimate velocity of the rocket gained, when the rate of consumption of the fuel is 2kg/sec.  (neglect gravity)

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a

3.7 km/sec

b

2 km/sec

c

10 km/sec

d

5 km/sec

answer is A.

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Detailed Solution

Vmax=uloge(m0m) =1.6×2.303log(20020) =1.6×2.303 =3.7kms−1
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A rocket of mass 20kg has 180 kg of fuel. The exhaust velocity of fuel is 1.6 km/sec. Calculate the ultimate velocity of the rocket gained, when the rate of consumption of the fuel is 2kg/sec.  (neglect gravity)