Physics
A hollow spherical tank is half-filled with oil. If water (denser than oil) is added, the overall centre of gravity will :
- move upward
- move downward
- remain at the same point
- first rises and then falls
Answer
move downward
Reason — When the hollow spherical tank is half-filled with oil, the centre of gravity of the oil lies roughly at the middle of the oil layer. When water, which is denser than oil, is added, it settles below the oil because of its higher density.
Since this heavier liquid occupies the lower part of the tank, more mass is concentrated at the bottom so as a result, the overall centre of gravity of the oil–water system shifts downward.
Therefore, the centre of gravity moves downward.
Related Questions
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
A child starts eating an ice cream from a fully-filled cone. What happens to its centre of gravity?
- rises continuously
- falls continuously
- remains constant
- none of the above
A hollow rectangular box is standing upright. A heavy brick is placed on top of the box. The centre of gravity of the system will :
- move downward
- move upward
- remain at the same Point
- first move up and then down
Can the centre of gravity of a body be situated outside its material of the body? Give an example.