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Physics

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.

Force

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Answer

No.

Reason

  • Mercury is denser than oil—about 13.6 times as dense. If filled horizontally, meaning mercury and oil are layered due to gravity, Mercury will settle at the bottom, oil will float above. This creates an asymmetrical mass distribution, with heavier mass concentrated towards the bottom.
  • The centre of gravity will shift towards the mercury side as the position of the centre of gravity depends on the distribution of mass.

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