Consider a rocket in space so that it can be assumed that no external forces act on the ro...

Consider a rocket in space so that it can be assumed that no external forces act on the rocket. Let υo be the speed of the exhaust gases relative to the rocket. In addition, let mb + mf and mb be the total mass of the rocket and its fuel at the initial time and the mass of the body after all the fuel is burned, respectively. If the rocket is fired from rest, determine an expression for the maximum speed that the rocket can achieve.

Figure P5.122