Question

A satellite of mass 5580 kg orbits the earth and has a period of 6670 s.

A. Determine the radius of its circular orbit

B. Determine the magnitude of the earths gravitational force on the satellite

C. Determine the altitude of the satellite

Answer 1

A.  $r^3=\frac{T^2Gm_E}{4\pi^2 }$

$r^3=\frac{(6670s)^2\times(6.67\times10^{-11}Nm^2/kg^2)\times(5.98\times10^{24}kg)}{4\pi^2 }$

$r= 7.660192\times10^6m$