Find the radius r of the orbit of a geosynchronous satellite that circles the earth. (note that r is measured from the center of the earth, not the surface of the earth.) use the following values if needed in this problem:
1) the universal gravitational constant g is 6.67×10−11nm2/kg2.
2) the mass of the earth is 5.98×1024kg.
3) the radius of the earth is 6.38×106m.

R = 1.932 x 10⁸ m

Explanation:

given,

gravitational constant = G = 6.67×10⁻¹¹ N.m²/kg²

mass of the earth = 5.98 x 10²⁴ Kg

radius of earth = 6.38 x 10⁶ m

equating gravitational force on the satellite with the centripetal force acting on it.

   where v = R ω

and

          T = 84600 sec

            R = 1.932 x 10⁸ m

this could be newton#'s law of cooling. the cooling curve is exponential