Basic conversions word problem help

>>379968
the squared term is unitless, it's just a number, so you may use Re and A in the same unit. It's probably easier to use the given Re, calculate A in km, and transform A in your unit of choice, say ancient Egyptian royal cubits or something.

>>379973
So Re and A and unitless?Im confused, because i have to factor it out it , since im solving for A. Just seems like it would not work

>>379978
because of...uh unit law or something like that

>>379968
I don't understand the issue. Just solve for A (i.e., A = ...), plug in the given values (make sure to use all the same unit, e.g., meters), and then convert the answer to miles afterward.
>>379978
The anon is saying the (Re/(Re+A))^2 term is unitless, which is correct since they cancel each other out: (meters/(meters + meters))^2, there are no leftover units when you divide out all of the meters. It's just a ratio that reduces the gravitational acceleration depending on your altitude.

>>379986
Damn! Why thank you,now i understand ive been overthinking it I guess.

>>379989
hmmm, i think my problem lies with factoring this, i cant seem to get the right answer

>>379995
You can indiscriminately take the square root of both sides (keep both g and g0 on the same side) and go from there. Then find a manageable way to solve for A.