# Mechanical Energy- Geosynchronous Orbit

#### hsphysics2

1. Homework Statement
What is the total mechanical energy of a 290 kg satellite in a geosynchronous orbit around the Earth?

2. Homework Equations
W= K + UG where K= 1/2 (mv2) and UG= -(GmM)/r
Fc= mac where ac= v2/r

3. The Attempt at a Solution
I think the geosynchronous part is what is throwing me off. What would the radius be so I can solve for the initial speed.

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#### AATroop

I don't want to throw you off, but I think it might be easier to find the initial speed first then find the radius. It's a geosynchronous orbit, so what do you know about its period?

"Mechanical Energy- Geosynchronous Orbit"

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