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14 September, 03:06

Two balls have their centers 2.0 m apart. One ball has a mass of m1 = 7.9 kg. The other has a mass of m2 = 6.1 kg. What is the gravitational force between them? (Use G = 6.67 10-11 N · m2/kg2.)

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  1. 14 September, 03:16
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    3.036*10⁻¹⁰ N

    Explanation:

    From newton's law of universal gravitation,

    F = Gm1m2/r² ... Equation 1

    Where F = Gravitational force between the balls, m1 = mass of the first ball, m2 = mass of the second ball, r = distance between their centers.

    G = gravitational constant

    Given: m1 = 7.9 kg, m2 = 6.1 kg, r = 2.0 m, G = 6.67*10⁻¹¹ Nm²/C²

    Substituting into equation 1

    F = 6.67*10⁻¹¹*7.9*6.1/2²

    F = 321.427*10⁻¹¹/4

    F = 30.36*10⁻¹¹

    F = 3.036*10⁻¹⁰ N

    Hence the force between the balls = 3.036*10⁻¹⁰ N
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