Rocket Propulsion — Prelims Questions

A rocket has an initial mass of $2000\,\text{kg}$ and a final mass of $500\,\text{kg}$ after all its fuel is consumed. If the exhaust velocity of the gases relative to the rocket is $2000\,\text{m/s}$, what is the change in velocity ($\Delta v$) of the rocket?

A rocket engine expels exhaust gases at a rate of $20\,\text{kg/s}$ with a relative velocity of $1500\,\text{m/s}$. What is the thrust generated by the engine?

A rocket of instantaneous mass $1000\,\text{kg}$ is moving vertically upwards. It expels gases at a rate of $10\,\text{kg/s}$ with a relative velocity of $2000\,\text{m/s}$. What is the instantaneous acceleration of the rocket at this moment? (Take $g = 10\,\text{m/s}^2$)

Which of the following statements about rocket propulsion is INCORRECT?

To achieve a very high change in velocity ($\Delta v$), which of the following factors is LEAST important for a rocket?

A rocket is designed such that its initial mass is $M$ and its dry mass (after fuel consumption) is $M/4$. If the exhaust velocity is $V$, what is the burnout velocity of the rocket, assuming it starts from rest?