Rocket thrust, mass, speed given initial m and fuel consumption rate?

AI Thread Summary
The discussion focuses on calculating the thrust, mass, and speed of a rocket in deep space after firing its engine. The rocket starts with a mass of 59.5E5 kg, including 7.39E5 kg of fuel, and burns fuel at a rate of 480 kg/s for 300 seconds. Participants suggest using the momentum integral and formulas for thrust in variable mass systems to solve the problem. The mass after fuel consumption is calculated to be 5.81E6 kg. The conversation emphasizes the need for understanding thrust calculations and momentum principles in rocketry.
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A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 59.5E5 kg, of which 7.39E5 kg is fuel. The rocket engine is then fired for 300 s, during which fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 3.55 km/s.
(a) What is the rocket's thrust? After the 300 s firing, what are (b) the mass and (c) the speed of the rocket?

F=ma

Found mass by doing (300s)(480kg/s)=144000kg
Subtracted from 59.5E5-144000=5.81E6 kg

But I have no idea where to start on a and c. Thank you!
 
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A hint for question a). Think about the units in Newtons equation..

Force = mass * acceleration

The units are..

= Kg * m/s^2

rearrange that a bit.
 
rockchalk1312 said:
A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 59.5E5 kg, of which 7.39E5 kg is fuel. The rocket engine is then fired for 300 s, during which fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 3.55 km/s.
(a) What is the rocket's thrust? After the 300 s firing, what are (b) the mass and (c) the speed of the rocket?

F=ma

Found mass by doing (300s)(480kg/s)=144000kg
Subtracted from 59.5E5-144000=5.81E6 kg

But I have no idea where to start on a and c. Thank you!

I would use the momentum integral: ∫Fdt = Δp.
 
rude man said:
I would use the momentum integral: ∫Fdt = Δp.

And I would use a direct formula for calculating thrust in a variable mass system: Mass rejection... :-p
 
sankalpmittal said:
And I would use a direct formula for calculating thrust in a variable mass system: Mass rejection... :-p

Chaqu'un a son gout ...
 
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