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Law of Gravitation

Part of the Mechanics section of Coddy's Physics journey. Lesson 84 of 94.

Every two masses pull on each other, along the line joining their centres:

F = G m1 m2 / r²

r runs centre to centre, and G = 6.67×10⁻¹¹ N·m²/kg². Both bodies feel the same size of force, toward each other.

Two round bodies m1 and m2 pulling on each other with equal forces F along the line between them, with the distance r measured between their centres

Equal pulls toward each other; r runs centre to centre.

The force falls with the square of the distance: twice as far gives 1/2² = 1/4 of the force, three times as far 1/3² = 1/9. Doubling one of the masses doubles the force.

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Challenge

Two asteroids attract each other with 40 N. One of them grows to three times its mass, and the distance between their centres doubles. Find the new force F.

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