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

AI Thread Summary
A communications satellite with a mass of 450 kg orbits Earth at a radius of 2.9×10^4 km. The weight of the satellite on Earth's surface is calculated to be 4400 N. To find the gravitational force on the satellite in orbit, Newton's universal law of gravity is applied, using the formula F=GMm/r^2. A user initially miscalculated the gravitational force due to incorrect unit conversion from kilometers to meters. After correcting the units, the user successfully determined the gravitational force, highlighting the importance of unit accuracy in calculations.
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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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