What is the force of gravity experienced by an object at the centre of the earth? (Assume that the earth is perfectly spherical)

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Newton's law of universal gravitation is usually stated as that every particle attracts every other particle in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.


What is the force of gravity experienced by an object at the centre of the earth? (Assume that the earth is perfectly spherical)