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NemiM [27]
4 years ago
12

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

Physics
1 answer:
Brilliant_brown [7]4 years ago
7 0
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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