Question: A rocket ship with mass Mo and loaded with fuel of mass mo takes off vertically in a uniform gravitational field as shown in Fig.

A rocket ship with mass Mo and loaded with fuel of mass mo takes off vertically in a uniform gravitational field as shown in Fig. 1.105. It ejects fuel with velocity Uo with respect to the rocket ship. The fuel is completely ejected during a time To. (a) Find the equation of motion of the rocket in terms of dM/dt, Uo, 9, and M, where M is the mass of the rocket at time t. (b) What is the velocity of the vehicle at the instant to when all the fuel has been ejected, in terms of Mo, mo, g and to? o g Up

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