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9 September, 09:12

If the gravitational force between objects of equal mass is 5.0*10^-9 N when the object are 12 m a part. What is the mass of each object?

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  1. 9 September, 09:36
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    The gravitational force is

    F = G (one mass) (the other mass) / (distance between them) ²

    G = the universal gravitational constant

    = 6.67 x 10⁻¹¹ newton-meter²/kg²

    If the masses are equal, then F = G m²/R²

    Divide each side by 'G': F/G = m²/R²

    Multiply each side by R² : m² = F R² / G

    Take the square root of each side: m = √ (FR²/G)

    Mass = √ (5 x 10⁻⁹ x 144 / 6.67 x 10⁻¹¹)

    = √ (500 x 144 / 6.67)

    = 103.9 kilogram (rounded)
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