Find the velocity of an object to become a satellite of Eart

AI Thread Summary
To determine the velocity required for an object at 500 km above Earth's surface to become a satellite, the equation a = v²/r is applied. The calculated velocity of 8306 m/s is incorrect, as the expected value is 7600 m/s. The discrepancy suggests an error in the value of acceleration (a) used in the calculations. Clarification is needed regarding the radius (r) and the units applied in the algebra. Accurate calculations are essential for determining the correct orbital velocity.
zade70
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Homework Statement


An object stand in the height 500km from the surface of the Earth. What velocity should it have to become an Earth satellite?

Homework Equations


a=v2/r

The Attempt at a Solution


v2=a*r=6,9*107=>x=8306m/S , but the solution is 7600m/S
 
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What's a? What's r? Watch units and you got your algebra wrong.
 
And what is x?

I would expect an error at the value of "a" you used.
 
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