A satellite moves in a circular orbit around the Earth at a speed of 5 km/s.

Determine the satellite’s altitude above the surface of the Earth. Assume the Earth is a homogeneous sphere of radius 6370 km and mass 5.98 × 1024 kg. The value of the universal gravitational constant is 6.67259 × 10−11 N · m2/kg2.
Answer in units of km

1 answer

change speed to m/s

centripetal force=gravitationalforce
ms*v^2/(re+h) = 9.8*ms*(re/(re+h))^2

solve for h (hint, solve for re+h, then subtract re.