What power (in kW) do the rocket engines with a mass of 2 tons develop if it rises from the Earth’s

| June 2, 2021 | education

What power (in kW) do the rocket engines with a mass of 2 tons develop if it rises from the Earth’s surface with an acceleration of 4 m / s? The speed of gas emission in the jet stream is 1200 m / s.

Given:

m = 2 tons is the mass of the rocket;

a = 4 m / s2 (meter per second squared) is the acceleration with which the rocket rises;

v = 1200 m / s – (meters per second) – gas emission velocity.

It is required to determine W (kW) – the power developed by the rocket engines.

Let’s convert the units of measurement of mass to the SI system:

m = 2 tons = 2 * 10 ^ 3 = 2 * 1000 = 2000 kilograms.

Then the thrust force of the engines will be equal to:

F = m * a = 2000 * 4 = 8000 Newtons.

The power will be equal to:

W = F * v = 8000 * 1200 = 8 * 12 * 105 = 96 * 10 ^ 5 Watts = 9600 kW.



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