Conservation of Momentum Spaceship Question

In summary, the mass of a spaceship is 10012 kg at rest. When a part with a mass of 1000 kg is ejected with a speed of 112 m/s, the speed of the other part is approximately -12.43 m/s. This is found by applying the conservation of momentum equation, where the initial momentum is equal to the sum of the momenta of the two pieces of the ship.
  • #1
qwertyqwert321
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Homework Statement


The mass of a spaceship is 10012 kg. The spaceship is at rest. Then one part of the ship with a mass of 1000 kg is ejected and emerges with a speed of 112 m/s. What is the speed of the other part?

Homework Equations

The Attempt at a Solution


I tried:
pi=pf
mivi=mfv2
10012 (vi)= 1000 kg * 112 m/s
solved for vi and got 11.19 m/s.
Am I correct? or did i need to assume the other part of the spaceship is 12 kg?[/B]
 
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  • #2
You have to apply conservation of momentum here, where pf is the sum of the momenta of the two pieces of the ship.
 
  • #3
so would it be :
pi=pf
mivi = m1v1 + m2v2
(10012 kg)(0 m/s) =m1v1 + m2v2
0= (1000 kg)(112 m/s)+ (12 kg) (v2)
v2 = -9333.3 m/s
 
Last edited:
  • #4
That's more like it! Include some directions and you are golden. :)
 
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  • #5
Is the original post accurate? What do you get when you subtract one thousand from ten thousand?
 
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  • #6
Good point.
 
  • #7
jbriggs444 said:
What do you get when you subtract one thousand from ten thousand?
oh man... i totally messed up there, thank you so much for the correction! m2 will then = 9012
(10012 kg)(0 m/s) =m1v1 + m2v2
0= (1000 kg)(112 m/s)+ (9012 kg) (v2)
v2 = -12.43 m/s
 
Last edited:

1. How does conservation of momentum apply to spaceships?

Conservation of momentum states that the total momentum of a closed system remains constant. In the case of a spaceship, this means that the total momentum of the spaceship and any objects it launches or interacts with will remain constant unless acted upon by an external force.

2. How does conservation of momentum affect the motion of a spaceship?

Conservation of momentum affects the motion of a spaceship by causing it to accelerate in the opposite direction of any object it ejects, such as fuel or a satellite, in order to maintain a constant total momentum. This is how rockets are able to propel themselves forward in space.

3. Can conservation of momentum be violated in space?

No, conservation of momentum is a fundamental law of physics and cannot be violated. In space, where there is no friction or other external forces, momentum is always conserved.

4. How does conservation of momentum impact spacecraft design?

Spacecraft designers must take into account the principles of conservation of momentum when designing the propulsion systems and overall structure of the spacecraft. For example, the placement of thrusters and the amount of fuel carried must be carefully calculated to ensure the spacecraft can maintain a stable trajectory and conserve momentum.

5. What other laws of physics are related to conservation of momentum in space?

Conservation of momentum is closely related to Newton's laws of motion, particularly the third law which states that for every action, there is an equal and opposite reaction. It is also related to the law of conservation of energy, as momentum and energy are closely linked in the context of motion.

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