a satellite moves in a circular orbit around the earth at a speed of 5000m/s.find the satellites altitude?

Answer 1

The altitude above the earth's surface would be 9,565,880 meters (or 9,565.880 km).

To solve, use the formula for uniform circular motion which relates orbital speed, v, and radius of the orbit, r. It is as follows: v=sqrt(GM/r), where G is the universal constant of gravitation and M is the mass of the primary body, in this case, the earth. Note that this is independent of the mass of the satellite. Then, solve this equation for r. This calculation results in a radius of 15,944,020 meters, however we must still subtract the radius of the earth, which is 6,378,140 meters, to obtain that part of the radius that lies above the earth's surface, thus its altitude.

Answer 2

Or if you can be a bit less precise, the table in this
http://www.amacad.org/publications/Section_4.pdf
makes it just under 10,000 meters, like 9500