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Question: Answered & Verified by Expert
A rocket of mass 4000 kg is set for vertical firing. How much fuel must be consumed per second so that the rocket may have initial upwards acceleration of magnitude 19.6 ms2.   [Exhaust gases speed = 980 ms]
PhysicsCenter of Mass Momentum and CollisionNEET
Options:
  • A 240 kg s-1
  • B 60 kg s-1
  • C 120 kg s-1
  • D None
Solution:
1825 Upvotes Verified Answer
The correct answer is: 120 kg s-1
ma = u dm dt - mg

⇒    u dm dt = m a + g

⇒    dm dt = 4 0 00 × 1 9 . 6 + 9 . 8 9 8 0

dm dt = 1 2 0  kg/s

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