A rocket of mass 1000 kg is to be projected vertically upwards. The gases are exhausted vertically downwards with velocity `100m//s` with respect to t
A rocket of mass 1000 kg is to be projected vertically upwards. The gases are exhausted vertically downwards with velocity `100m//s` with respect to the rocket. (What is the minimum rate of burning fuel, so as to just lift the rocket upwards against the gravitational attraction?) (Take `g=10m//s^(2)`)
A. 50 kg/s
B. 100kg/s
C. 200kg/s
D. 400kg/s
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Correct Answer - B
Minimum rate of burning fuel is `(dm)/(dt)`
`therefore mg=u(dm)/(dt)`
or, `(dm)/(dt)=(mg)/(u)=(1000xx10)/(100)=100 kg/s`.
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