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Question
Will the centre of gravity of a hollow sphere filled half with mercury and half with oil be identical to that of an empty hollow sphere? Give reasons for your answer.
Give Reasons
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Solution
No. The centre of gravity of a uniform, empty hollow sphere is at its geometric centre. When it is filled with mercury and oil, the liquids add weight. Mercury settles in the lower part and is denser than oil, so more of the added weight acts below the sphere’s centre. As a result, the centre of gravity of the filled sphere shifts downward and is not identical to that of the empty sphere.
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