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

Click For Summary
SUMMARY

The discussion focuses on calculating the potential energy and gravitational force acting on a satellite with a mass of 100 kg located at an altitude of 2.00 x 106 m above the Earth. The potential energy is determined using the formula Ug = - G m1m2/r, where G is the universal gravitational constant (6.67 x 10-11 N m2/kg2), the mass of the Earth is 5.98 x 1024 kg, and the effective radius is the sum of the Earth's radius (6.37 x 106 m) and the altitude. For the gravitational force, Newton's law of universal gravitation is applied, which also incorporates the gravitational constant G.

PREREQUISITES
  • Understanding of gravitational potential energy calculations
  • Familiarity with Newton's law of universal gravitation
  • Knowledge of the universal gravitational constant (G)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the derivation of gravitational potential energy formulas
  • Study Newton's law of universal gravitation in detail
  • Explore applications of gravitational force in satellite dynamics
  • Learn about the implications of altitude on gravitational force and potential energy
USEFUL FOR

Students in physics, aerospace engineers, and anyone interested in satellite mechanics and gravitational interactions.

Husker70
Messages
89
Reaction score
0

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
 
Physics news on Phys.org
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
 

Attachments

  • ForceGravity.jpg
    ForceGravity.jpg
    1.7 KB · Views: 623

Similar threads

Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
5
Views
3K
Replies
3
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
21
Views
3K
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K