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A rocket, set for vertical launching has a mass of 50 kg and contains 450 kg of fuel. It can have a maximum exhaust speed of $1 {Kms}^{- 1} . If g = 10 {ms}^{- 2}$ What should be the minimum rate of fuel consumption to just lift it off the launching pad.

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10kgs−1

5kgs−1

7.5kgs−1

2.5kgs−1

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detailed solution

Correct option is B

F=VdmdtMg=Vdmdt⇒dmdt=MgV=500×101000=5kgs−1 ⇒dmdt=5kgs−1

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A rocket, set for vertical launching has a mass of 50 kg and contains 450 kg of fuel. It can have a maximum exhaust speed of 1Kms−1. If g=10ms−2 What should be the minimum rate of fuel consumption to just lift it off the launching pad.

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Ready to Test Your Skills?

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A rocket, set for vertical launching has a mass of 50 kg and contains 450 kg of fuel. It can have a maximum exhaust speed of $1 {Kms}^{- 1} . If g = 10 {ms}^{- 2}$ What should be the minimum rate of fuel consumption to just lift it off the launching pad.