Calculating Momentum of a Spacecraft with Thruster Firing?

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AI Thread Summary
The discussion focuses on calculating the initial and final momentum of a spacecraft with a mass of 1.0 x 10^4 kg and an initial speed of 1200 m/s, subjected to a 25 kN force from thrusters for 2 minutes. Participants emphasize the importance of unit consistency, noting the need to convert time from minutes to seconds for accurate calculations. The impulse-momentum theorem is highlighted, with the equation J = Δp = p_f - p_i being central to the solution. A correction is made regarding the signs in the momentum equation, ensuring clarity in the calculations. Overall, the thread provides guidance on applying the impulse-momentum relationship to solve the problem effectively.
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Homework Statement



a 1.0*10^4kg spacecraft is traveling through space with a speed of 1200 m/s realtive to earth. a thruster fires for 2.0 min, exerting a continuous force of 25kN on the spacecraft in a direction opposite the spacecraft s motion . calculate the initial momentum and the fianl momentum kof the spacecraft .



Homework Equations





The Attempt at a Solution

 
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You need to show work here in order to get help. Those are the rules. What have you tried so far? What are you thoughts on the problem?
 
(-25*10^3)(2.0)=(1.0x10^4)(1200)+(1.0*10^4)(mvi)
 
OK. Your big problem is with units. You have seconds on one side of the equation and minutes on the other side of the equation.

Also, remember the equation is:

Impulse =Change in Momentum.
J=\Delta p=p_f-p_i

Check your signs on the RHS of your equation.
 
Last edited:
ok so it would be 120s instead of 2.0min
 
(-25*10^3)(120)= (1.0*10^4)(mvi)-(1.0x10^4)(1200)
 
jamiescience said:
(-25*10^3)(120)= (1.0*10^4)(mvi)-(1.0x10^4)(1200)

That looks good to me.
 
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