Question

Q) Fuel is consumned at the rate of 100kg/s in a rocket. the exhaust gases are ejected at a speed of 45,000 m/s with respect to the rocket . what is the thrust experienced by the rocket ?
also calculate the velocity of the rocket at the instant when the mass is reduced to 1/10 th of its initial mass . ( initial velocity of rocket is 0 )

Answer 1

Dear Student,

Thrust on rocket= -uR

u: velocity of exhaust gasses
R= rate of consumption of fuel

Thrust= - 100 x 45000 =- 4.5 x 10 ⁶ N

We know

$$\begin{gathered} v=v_0+u\ln \left(\frac{M_0}{M}\right) \\ v=45000\times \ln \left(\frac{m}{{\displaystyle \frac{1m}{10}}}\right) \\ orv=45000m/supward. \end{gathered}$$
Regards.