# John Taylor Classical Mechanics Chapter 3, Problem 7

1. Oct 16, 2013

### karmonkey98k

John Taylor "Classical Mechanics" Chapter 3, Problem 7

1. The problem statement, all variables and given/known data[/b]
The first couple of minutes of the launch of a space shuttle can be described very roughly as follows: The initial mass is 2x10^6kg, the final mass (after 2 min) is about 1x10^6 kg, the average exhaust speed is about 3000 m/s and the initial velocity is 0. If all this were taking place in outer space, with negligible gravity, what would be the shuttle speed at the end of this stage? What is the thrust during the same period and how does it compare with the initial total weight of the shuttle (on earth)?

2. Relevant equations
mdv/dt=(-dm/dt)v>ex

3. The attempt at a solution
Am not able to get dv/dt.

2. Oct 16, 2013

### NihalSh

you know $\frac{dm}{dt}$, $v_{ex}$. Thrust is the reactionary force. Solve R.H.S.