A 2000 kg rocket is set for vertical firing the exhaust speed is 400 m/s to given an initial upward acceleration of `10m//s^(2)`. Find out the amount of gas ejected per second to supply the needed thrust `(g=10m//s^(2))`

Explanation

Force applied by the gases on the rocket `=(vdm)/(dt)`
Rocket is accelerating upward so for rocket. `(vdm)/(dt)=mg=ma`
`rArr(dm)/(dt)=(m(g+a))/(v)=(2000(10+10))/(400)=100kg//s`