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

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rockchalk1312
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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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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