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Why did newton assume inverse square dep...

Why did newton assume inverse square dependence on distance in his law of gravitation?

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Newton had assumed inverse square dependence on distance in his law of gravitation by considering kepler's third law which state that , 'The square of orbital period of revolution of a planet around the sun is directly proportional to the cube of the mean distance of the planet from the sun' i.e., `T^2 prop r^3`
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TARGET PUBLICATION-GRAVITATION-ANSWER THE FOLLOWING
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  8. What is the acceleration due to gravity?

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  9. Explain the factors affecting the value of g .

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  10. Is the value of g same every where on the surface of Earth ? How has i...

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  12. What is the value of 'g' at the centre of Earth ?

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