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A 5000 kg rocket is set of vertical firi...

A 5000 kg rocket is set of vertical firing. The exhaust speed is `800" "ms^(-1)`. To give an initial upward acceleration of `20ms^(-2)`, the amount of gas ejected per second to supply the needed thrust will be (take, `g=10ms^(-2)`)

A

`127.5 kg s^(-1)`

B

`187.5 kg s^(-1)`

C

`185.5 kg ^(-1)`

D

`137.5 kg s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`F = v ((dm)/(dt)) = m(g+a)`
`rArr (dm)/(dt) = (5000 xx (10 + 20))/(800) `
` = (1500)/(8) = 187.5 kg //sec`
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