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5 August, 13:16

The gravitational force between two 0.800 kg balls is 8.92 x 10-11 N. How far apart are they?

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  1. 5 August, 15:51
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    r = 0.692m

    Explanation:

    According to law of gravitation, the force of attraction F existing between two masses m1 and m2 is directly proportional to the product of the masses and inversely proportional to the square of the distance (r) between them.

    Mathematically, F = Gm1m2/r² where G is the gravitational constant.

    Given F = 8.92 x 10^-11 N

    m1 = m2 = 0.8kg

    G = 6.67*10^-11 m³/kgs²

    r = ?

    Substituting this values in the given formula, we have;

    8.92*10^-11 = 6.67*10^-11 (0.8) (0.8) / r²

    Cross multiplying;

    8.92*10^-11r² = 4.27*10^-11

    r² = 4.27*10^-11/8.92*10^-11

    r² = 0.479*10^0

    r² = 0.479

    r = √0.479

    r = 0.692m

    This shows that the masses are 0.692m apart.
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