# Physics Problem ?

Could somebody help me with my physics problem?

A rocket with the mass of M starts moving with its initial velocity v(0), and every unit time the rocket releases m[kg] gas. If the direction of the release is always perpendicular to the velocity of the rocket, describe the movement of the rocket.

You may use any constant if needed. Sorry if I used words wrong; English is not my mother tongue.

The relative velocity of the released gas to the rocket is U.

### 2 Answers

- VamanLv 72 months ago
Let v0 be along the x axis. x path will be x= x0 + v0 t.

Path along y axis will change.

p= mvy is a constant. So when m is changing, we have,

dm/dt =k=constant. v(m0-kt)=A. At t=o v=vy0, m=m0

v(m0-kt)= v0 m0, v= v0 m0/(m0-k t). Integrate it.

y = y0-v0 mo /k ln(m0-kt). It will go till t=m0/k. It will be a spiral inward.