Conservation of energy involving a spring

AI Thread Summary
The discussion revolves around designing a spring to launch a 1130 kg satellite at a speed of 1.90 m/s from an orbiting space shuttle, with a maximum acceleration of 5g. Participants express confusion about the physical implications of the scenario, particularly regarding the effects of gravity in orbit and the direction of the launch. Key equations provided include the conservation of energy and the spring force equation. The primary questions focus on determining the necessary force constant of the spring and the distance it must be compressed. Understanding the context of orbital mechanics and the spring's role in this setup is crucial for solving the problem.
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Homework Statement



You are asked to design a spring that will give a 1130 satellite a speed of 1.90 m/s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5g. The spring's mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible.

1. What must the force constant of the spring be?
2. What distance must the spring be compressed?


Homework Equations


E initial = E final
Fx=Kx


The Attempt at a Solution



I am not sure of how to start this equation. I don't understand the physical situation that is happening here, can someone maybe give a nudge as to what is happening? The biggest thing that is messing me up is that the spaceship is in orbit, does this mean gravity doesn't apply? Is the space trying to shoot it in the y or x direction?
 
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EEintraining said:

Homework Statement



You are asked to design a spring that will give a 1130 satellite a speed of 1.90 m/s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5g. The spring's mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible.

1. What must the force constant of the spring be?
2. What distance must the spring be compressed?


Homework Equations


E initial = E final
Fx=Kx


The Attempt at a Solution



I am not sure of how to start this equation. I don't understand the physical situation that is happening here, can someone maybe give a nudge as to what is happening? The biggest thing that is messing me up is that the spaceship is in orbit, does this mean gravity doesn't apply? Is the space trying to shoot it in the y or x direction?
What's a 1130 satellite ?
 
sorry 1130 kg
 
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