Conservation of energy involving a spring

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SUMMARY

The discussion focuses on designing a spring to launch a 1130 kg satellite at a speed of 1.90 m/s relative to an orbiting space shuttle, with a maximum acceleration of 5g. The relevant equations include energy conservation (E initial = E final) and Hooke's Law (Fx = Kx). Participants seek clarification on the physical implications of launching from an orbiting shuttle and the necessary calculations for the spring's force constant and compression distance.

PREREQUISITES
  • Understanding of Hooke's Law (Fx = Kx)
  • Knowledge of energy conservation principles in physics
  • Familiarity with gravitational effects in orbital mechanics
  • Basic calculus for solving equations involving force and energy
NEXT STEPS
  • Calculate the spring constant using the formula K = (m * a) / x
  • Determine the compression distance required for the spring using energy conservation principles
  • Explore the effects of gravitational forces on objects in orbit
  • Review dynamics of launching objects from a moving platform, such as a space shuttle
USEFUL FOR

Physics students, aerospace engineers, and anyone involved in satellite launch mechanics will benefit from this discussion.

EEintraining
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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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