A centripetal force of 190 N acts on a 1,550-kg satellite moving with a speed of 5,300 m/s in a circular orbit around a planet. What is the radius of its orbit?

Radius, r is equal to 229.16*10^6m

Explanation:

Given the following parameters;

Centripetal force on the satellite, Fc = 190N.

Mass of the satellite, M = 1,550-kg.

Speed of the satellite, V = 5,300m/s.

The relationship between a satellite of mass (m) moving in a circular orbit of radius (r) with a speed (v) and a centripetal force (Fc) is given by the equation;

Fc = (MV²) / r

Since, we're solving radius, r; we make "r" the subject of formula;

Thus, r = (MV²) / Fc

Substituting into the above equation;

r = (1550 * [5300]²) / 190

r = (1550 * 28090000) / 190

r = 43539500000/190

r = 229155263.16

Radius, r is equal to 229.16 * 10^6m