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26 August, 07:54

Two objects one of m=20,000kg and another of 12,500kg, are placed at a distance of 5 meters apart. What is the force of gravitation between these two objects

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  1. 26 August, 11:51
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    Forces of gravity between two objects =

    G · (mass₁) · (mass₂) / (distance between them) ²

    G = 6.67 x 10⁻¹¹ m³ / kg · s²

    So the gravitational forces (one in each direction) are

    Forces = (6.67 x 10⁻¹¹ m³/kg·s²) · (20,000 kg) · (12,500 kg) / (5 m) ²

    Forces = (6.67x10⁻¹¹ · 2x10⁴ · 1.25x10⁴) / (25) · (m³·kg·kg/m²·kg·s²)

    Forces = (6.67 · 2 · 1.25 x 10⁻³ / 25) · (kg·m/s²)

    Forces = (6.67 x 10⁻⁴) · (kg·m/s²)

    Forces = 0.0001667 Newton (about 0.0024 ounce)

    Note: The gravitational force acts between the centers of the objects, and that's where the "distance between them" is measured. For two masses of 20,000 kg and 12,500 kg, there's a chance that you might not even be able to get their centers with 5 meters of each other, even if they're made of concrete or steel. If not, then the gravitational forces between them would be less than 0.0024 ounce.)
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