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20 October, 15:56

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?

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  1. 20 October, 19:13
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    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
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