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A 500kg rocket is set for verticle firin...

A 500kg rocket is set for verticle firing. The exhaust speed is 800`ms^-2` . To give an initial upward acceleration of 20`ms^-2` , the amount of gas ejected per second to supply the needed thrust will be (g=10 `ms^-2` )

A

`127.5 kg s^(-1)`

B

`137.5 kg s^(-1)`

C

`187.5 kg s^(-1)`

D

`185.5 kg s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`F=(dp)/(dt), m(g+a)=(dm)/(dt)v rArr (dm)/(dt)=(m(g+a))/(v)`
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