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  • A rocket of mass 5000 Kg is set for vertical firing. If the exhaust speed be 1 Km/sec by how much rate gas must be ejected to give the rocket on the upward acceleration of 20 m/s2n

A rocket of mass 5000 Kg is set for vertical firing. If the exhaust speed be 1 Km/sec by how much rate gas must be ejected to give the rocket on the upward acceleration of 20 m/s2  (in  Kg/s ) 

Option: 1

150


Option: 2

180


Option: 3

100


Option: 4

200


Answers (1)

best_answer

Acceleration of Rocket (a)

          a=-\frac{u}{m}\:\frac{dm}{dt}-g

 

Where \frac{dm}{dt}= rate\:of\;ejection\:of\:the\:fuel

u=velocity of exhaust gas

m=mass of the rocket at any instant

 

 

\frac{dm}{dt}=m(a+g)/u = 5000 (20+10) / 1000 = 150 Kg/s

Posted by

seema garhwal

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