- #1

- 10

- 0

## Homework Statement

A rocket is fired in deep space, where gravity is negligible. In the first second it ejects 1/160 of its mass as exhaust gas and has an acceleration of 15.9 m/s

^{2}.

What is the speed

*v*of the exhaust gas relative to the rocket?

_{gas}Express your answer numerically in kilometers per second.

## Homework Equations

conservation of momentum: (m

_{1}v

_{1}+ m

_{2}v

_{2})

*= (m*

_{final}_{1}v

_{1}+ m

_{2}v

_{2})

_{initial}## The Attempt at a Solution

(159/160)M(

*v*+ 15.9) - (1/160)M

_{rocket}*v*= M

_{gas}*v*

_{rocket}I go on to simplify it but I cant express

*v*in numerical terms, as

_{gas}*v*still remains in the equation. There is no value given for this so how can I solve the question?

_{rocket}Pls help! Thanks! :)