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olya-2409
3 months ago
6

At one instant of time a rocket is traveling in outer space at 2500m/s and is exhausting fuel at a rate of 100 kg/s. If the spee

d of the fuel as it leaves the rocket is 1500 m/s, relative to the rocket, the thrust is:
Physics
1 answer:
Keith_Richards [3.2K]3 months ago
7 0

Thrust is quantified as a reaction force, in accordance with Newton's third law. When a system accelerates or expels mass in one direction, this resulting mass generates a force of equal strength but in the opposite direction on that system. This relationship can be expressed mathematically as:

T = v\frac{dm}{dt}

Where:

v = velocity of the exhaust gases as perceived from the rocket.

\frac{dm}{dt}= Change in mass over time

The provided data is as follows:

v = 1500m/s

\frac{dm}{dt} = 100kg/s

After substitution, we obtain:

T = 1500*100

\therefore T = 1.5*10^5N

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