A synchronous satellite, which always remains above the same point on a planet's equator, is put in orbit around Neptune so that scientists can study a surface feature. Neptune rotates once every 16.1 h. Use the data of Table 13.2 to find the altitude of the satellite.

Mass of Neptune=1.03*10^26 kg
Radius of Neptune=2.21*10^7m

{(6.67*10^-11)(1.03*10^26)(57960)^2/{4pi^2)}^(1/3)=83615480.89

and then I subtracted that answer from 2.21*10^7=61515480.89

when i insert 61515480.89 as my answer homework site says "Your response is off by a multiple of ten". What am I missing?
Thanks

i know this is WAY over due but your equation is off and a figure of 10-3 is unaccounted for. your answer should be 6.15e4

I agree, you are off by a factor of 10.

8.3E7-2.2E7=6.2E7

I bet they want the answer to be in the form

5.88 * 10^7 meters,
to the same significant figures as given in your table (of course I also do not agree with their planet radius)

I do not understand this off by a factor of ten. Ana's answer, 61515480.89 = 6.15*10^7 approx., looks fine to me except that I disagree about the planet radius.

I inserted 6.2E7 and i also try to do 62000000 but it says the same thing. How else can I insert my answer?

Try 6.15E7

and try
5.88E7

Three of us have done this independently now (I started with my own planet data) and bob and I agree with you.

I appreciate who ever is helping me out, but again I tried 6.15E7 and 5.88E7 still it isn't working out. I can only insert answer two times after that it wont work.

I don't know what else I can do

Nor do I. However the august text had the radius of the planet wrong (or at least not the same as my data) so it is possible that they have the answer wrong. That is all I can think of.

the mass and radius were given by professor so I just followed that.

maybe you are right.
thanks anyway