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How does the weight of an object vary with respect to mass and radius of the earth. In a hypothetical case, if the diameter of the earth becomes half of its present value and its mass becomes four times of its present value, then how would the weight of any object on the surface of the earth be affected?
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When diameter of earth becomes half, its radius R also become half, its radius R also become half i.e.,R′=R/2 and its mass becomes four times i.e.,M′=4M. i.e., the weight of the same object would become 16 times its original weight.
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