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15 December, 02:47

Two asteroids are 100,000 m apart. One has a mass of 3.5 106 kg. If the force of gravity between them is 1.05 10-4 N, what is the mass of the other asteroid?

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  1. 15 December, 05:30
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    When two mass are attracted by gravity, a gravitational force is present. This can be calculated by the expression F = G (m1) (m2) / distance^2 where G is equal to 6.67408 * 10-11 m3 / kg-s^2. We calculate mass as follows:

    F = G (m1) (m2) / distance^2

    1.05 x10^-4 N = 6.67408 * 10-11 m3 / kg-s^2 (3.5x10^6 kg) (m2) / 100000^2

    m2 = 44950.02 kg
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