In the previous problem , if the mass of fuel is `5000 kg` and the rate of fuel consumption is `50 kg//s` , find the speed acquired by the rocket when all fuel is consumed .

Explanation

Mass of container , I.e. mass of rocket without fuel ` = 1000 kg`,
time in which all fuel is consumed `= (5000)/(50) = 100 s`
`v = v_(0) + v_(r) log_(e ) ((m_(0))/(m_(c ))) - g t`
` = 0 + 2000 log_(e ) ((6000)/(1000)) - 10 xx 1000`
`= (2000 log_(e ) - 1000) m//s`