Physics
A hollow cone is kept upright on a table. When sand is slowly poured in it, the centre of gravity of the cone-sand system will :
- always rise continuously
- always fall continuously
- first falls and then rises
- remain fixed at the same point
Force
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Answer
first falls and then rises
Reason — When sand is gradually poured into a hollow cone standing upright, the centre of gravity of the cone–sand system initially moves downward because the sand first accumulates near the base of the cone, adding mass lower than the cone’s original centre of gravity.
As more sand is added, the level of sand rises and the additional mass begins to lie higher in the cone, which shifts the centre of gravity upward.
Therefore, the centre of gravity of the system first falls and then rises.
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