What is the gravitational force on a satellite in orbit around Earth?

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Homework Help Overview

The discussion revolves around calculating the gravitational force on a satellite in orbit around Earth, specifically addressing the weight of the satellite and the gravitational force exerted on it while in orbit.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the gravitational force formula and discuss the necessary parameters, including the mass of the Earth and the radius of the orbit. There are attempts to apply Newton's law of universal gravitation, and questions arise regarding unit conversions and the correctness of calculations.

Discussion Status

The discussion includes attempts to calculate the gravitational force, with some participants providing guidance on the formula and unit conversion. There is acknowledgment of errors in calculations, and one participant expresses gratitude for assistance received.

Contextual Notes

Participants note the importance of unit consistency, particularly converting the radius from kilometers to meters, and reference past mistakes in similar calculations as a cautionary example.

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Homework Statement


A communications satellite with a mass of 450 kg is in a circular orbit about the Earth. The radius of the orbit is 2.9×104 km as measured from the center of the Earth. A. Calculate the weight of the satellite on the surface of the Earth. B. Calculate the gravitational force exerted on the satellite by the Earth when it is in orbit.


Homework Equations


Weight=mass*gravity


3. The attempt at a solaution
I found A. 4400 N
I don't know how to try to find B.
 
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What's the formula for gravitational force?
 
for B) use Newtons universal law of gravity.

namely:

F=\frac{GMm}{r^2}

G= Newtons gravity constant
M= mass of earth
m= mass of satellite
r= radius of orbit

note:(both Newtons constant & the mass of Earth can be found on the internet)
 
ideasrule said:
What's the formula for gravitational force?

sorry ideasrule, i gave it away :blushing:
 
i tried that but it was wrong
F=((6.67E-11)(5.97E24)(450))/(2.9E4)^2=213067241.4 this isn't right, what am i doing wrong
G=6.67E-11
mass od earth= 5.97E24
 
you must convert your radius from Km to m. Always double check your units...

(it cost NASA millions one time)
 
alright, i got it, thanks
 

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