Question

Due to Internal Combustion inside a Rocket, Gases are ejected at the Rate of \[2.4\] kg/minute. The Velocity of the Gases with respect to the Rocket is \[400\] m/s. Calculate force exerted on the Rocket.

Answer 1

Hint:A force is a push or pull on an object caused by the interaction of the object with another object. Any time two objects meet, a force is exerted on each of them.

Complete step by step answer:
First we should know about internal combustion inside a Rocket. Fuel and an oxidizer, or source of oxygen, are combined and exploded in a combustion chamber in a rocket engine.The combustion generates hot exhaust that is forced through a nozzle to speed up the flow and generate thrust.

Gases are ejected at a rate of 2.4 kilogrammes per minute i.e.
\[\dfrac{{\Delta m}}{{\Delta t}} = \dfrac{{2.4}}{{60}}kg/s\]
Change in momentum per second =\[v \times \dfrac{{\Delta m}}{{\Delta t}} = 400 \times \dfrac{{2.4}}{{60}}\]
Since force equals the rate of change of momentum,
$\text{Force}= 400 \times \dfrac{{2.4}}{{60}} = 16\,N$

A rocket engine is a reaction engine that can be used for both spacecraft and terrestrial applications including missiles. While non-combusting versions exist, most rocket engines are internal combustion engines. A high-temperature, hypersonic gaseous exhaust is generated by traditional rocket engines.

So we found that force exerted on the rocket due to Internal Combustion inside a Rocket when the velocity of the gases with respect to the rocket is \[400\] m/s is \[16\,N\].

Note:An internal combustion engine (ICE) is a heat engine in which a fuel is burned in a combustion chamber that is part of the working fluid flow circuit with an oxidizer (usually air). The expansion of the high-temperature and high-pressure gases created by combustion acts directly on a part of an internal combustion engine.