Can i please get a little help on this problem i dont think i did it right.

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The discussion focuses on calculating the force of gravity at 500 kilometers above Earth's surface using the equation gr=R²/r² × g. The user calculates a gravity value of approximately 9.09 m/s² but is uncertain about the correctness of their answer. They express confusion regarding whether the result should be in g's instead of m/s². The formula for gravity is clarified as g=G.M/R², emphasizing the need to understand the units involved. The conversation highlights the importance of unit conversion in gravitational calculations.
davo
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So, how much weaker is the force of gravity at 500 kilometers above Earth's surface? Calculate how much of a g force the astronauts are actually experiencing. This equation can be modified for any other planet by replacing using the planet's radius and its surface gravity (how many g's).

this is the problem

The equation they gave me was:
gr=R(squared)/r(squared) X(times) g

I got:
gr=(6378.1km(squared)/6878.1km(squared) X(times) 9.8m/sec/sec)=9.0875939576336488274378098602812m/sec/sec

Did i get it right? I really don't think I did.
 
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You are right.
It comes from the formula: g=G.M/R^2.
 
Thanks
 
Shouldnt the answer be in g's? Thats what really throughs me off.
 

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