Momentum Principle and Energy Principle to find speed and energy

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SUMMARY

The discussion focuses on applying the Momentum Principle and the Energy Principle to calculate the speed of a satellite and the energy required to move it from its orbit. The satellite has a mass of 4500 kg and orbits the Earth at a radius of 9.2x10^6 m, with the Earth's mass being 6.0x10^24 kg. The centripetal force acting on the satellite is equal to the gravitational force, leading to the equations Fc = Fg. The necessary calculations involve substituting these values into the relevant formulas to derive the satellite's speed and the energy needed for relocation.

PREREQUISITES
  • Understanding of the Momentum Principle in physics
  • Familiarity with the Energy Principle in physics
  • Knowledge of gravitational force calculations
  • Ability to manipulate equations involving mass, radius, and force
NEXT STEPS
  • Calculate the gravitational force using the formula Fg = G * (m1 * m2) / r^2
  • Determine the centripetal force required for circular motion using Fc = (m * v^2) / r
  • Learn how to derive speed from the centripetal force equation
  • Explore energy calculations for moving objects in gravitational fields
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in satellite dynamics and orbital mechanics.

HellaciousD
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The problem states:
You will need to use the Momentum Principle to do the first part of this problem, and the Energy Principle to do the second part.

A satellite of mass 4500 kg orbits the Earth in a circular orbit of radius of 9.2x10^6 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0x10^24 kg.
What is the speed of the satellite?

What is the minimum amount of energy required to move the satellite from this orbit to a location very far away from the Earth?I'm not really sure what to do here, I feel as though I need more information to work this. Help is much appreciated.
 
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Start all satellite questions by saying that the centripetal force is provided by the gravitational force:
Fc = Fg
Fill in the detailed formula for each of those. Solve for what you are looking for and put in the numbers.
 

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