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12 December, 11:09

two ocean liners with masses 10.0 million and 20.0 million kilograms are 50.0 meters apart. How far apart are the two ships if the force beteren them is 1.0 N?

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  1. 12 December, 11:13
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    m₁ = mass of first ocean liner = 10 x 10⁶ kg

    m₂ = mass of second ocean liner = 20 x 10⁶ kg

    r = distance between two ocean liners = ?

    F = force between the two ocean liners = 1.0 N

    G = gravitational constant = 6.67 x 10⁻¹¹ Nm²/kg²

    Gravitational force of attraction between the two ocean liners is given as

    F = G m₁ m₂/r²

    inserting the values

    1.0 = (6.67 x 10⁻¹¹) (10 x 10⁶) (20 x 10⁶) / r²

    r² = (6.67 x 10⁻¹¹) (10 x 10⁶) (20 x 10⁶)

    r² = (6.67 x 10⁻¹¹) (200 x 10¹²)

    r² = 13340

    r = √13340

    r = 115.5 m
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