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13 April, 18:49

What is the force of gravity between a 1000000000 kg asteroid and the earth when the asteroid is 3000000 m away from the earth?

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  1. 13 April, 19:02
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    Mass of the Earth = 5.972 x 10²⁴ kg

    Mass of the asteroid = 1 x 10⁹ kg

    Separation distance = 3 x 10⁶ m (between the Earth's center and the asteroid's center)

    Gravitational force between two masses =

    (6.67 x 10⁻¹¹ nt-m²/kg²) · m₁ · m₂ / (distance) ²

    = (6.67 x 10⁻¹¹ nt-m²/kg²) · (5.972 x 10²⁴ kg) · (1 x 10⁹ kg) / (3 x 10⁶ m) ²

    = (6.67 · 5.972 / 9) x 10¹⁰ · (nt · m² · kg · kg / kg² · m²)

    = 13.28 x 10¹⁰ newtons

    = 132.8 Giga-newtons.

    (about 14,926,763 tons)
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