Question

A rocket of total mass 1000kg initially is launched from ground. The gases are ejected at the rate 20kg/s with velocity 1000 m/s relative to rocket vertically downwards. The initial acceleration of the rocket is a (in `m//s^(2)`). Find`a/g`. (Take `g=10 m//s^(2)`)

Answer 1

Thrust force
`F=(dm)/(dt), u_(rel)=20xx1000 N`

`F_("net")=F-mg`
=20000-10000
=10000N
`:. a=10 m//s^(2)`
`:. a/g=1`