What Is the Potential Energy and Gravitational Force on a Satellite?

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Homework Help Overview

The discussion revolves around calculating the potential energy and gravitational force related to a satellite in orbit around the Earth. The problem involves the application of gravitational equations and constants in a physics context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the gravitational potential energy formula but expresses uncertainty regarding the gravitational constant. Participants provide clarification on the constant and suggest relevant equations for calculating gravitational force.

Discussion Status

Participants are actively engaging with the problem, with some providing helpful guidance on the equations needed for different parts of the question. There is a progression in understanding as the original poster acknowledges receiving the correct information.

Contextual Notes

There is mention of specific values for the mass of the Earth and the radius, which are relevant to the calculations. The original poster also notes a lack of clarity regarding the equations needed for the second part of the problem.

Husker70
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Homework Statement


A satellite of the Earth has a mass of 100kg and is at an altitude of 2.00x10^6m.
(a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude
of the gravitational force exerted by the Earth on the satellite? (c) What force does the
satellite exert on the Earth?


Homework Equations


(a) Ug = - G m1m2/r
Mass of Earth = 5.98x10^24 kg
Radius of Earth = 6.37x10^6 m

The Attempt at a Solution


(a) I took the mass of the Earth times the 100kg satellite/the Altitude plus the radius of earth
Ug = G (5.98x10^24kg)(100kg)/2.00x10^6m(6.37x10^6m)
I'm not sure what the G is for.
Thanks,
Kevin
 
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G is the universal gravitational constant:

G=6.67*10^{-11}\frac{Nm^2}{kg^2}
 
Got it thanks. Not sure why I couldn't find that but I got the correct answer.
Not sure what equation to use for part b
Thanks,
Kevin
 
For part b), you want Newton's equation for the force of gravity between two objects:

HINT: The equation your looking for should also contain a big G.
 
I think I got it using this equation.
Thanks,
Kevin
 

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