Q. How did Newton guess the inverse square rule?
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According to the inverse-square law of gravitaion, the force of gravitation on a planet should decrease as the square of the distance of the planet from the sun. Newton further showed that the gravitational force is proportional to the product of the masses of the two objects.
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Kepler's third law of planetary motion was used by Newton to guess how the force of gravitation of the earth is weakened by distance. ... According to the inverse-square law of gravitaion, the force of gravitation on a planet should decrease as the square of the distance of the planet from the sun.
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