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
12 Likes
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.
Answered By
7 Likes
Related Questions
Soumya took two right circular cones of the same vertical height. One of the two cones is a solid one, while the other is hollow from inside. By measuring the cross-sectional areas of the cones and from the knowledge of symmetry, by using suitable formulas, he found the positions of the centre of gravity of both cones. He found that the difference is about 1.5 cm. What is the vertical height of the two cones?
Seismic waves have different frequencies. During earthquakes, why are short-length buildings more prone to damage caused by high-frequency seismic waves?
Study the diagram and answer the questions that follow.

(a) In the diagram, is the worker attempting to raise or lower the load?
(b) Justify your answer to (a) with the necessary calculation.
The graph shows load against effort for a lever with load and effort on the same side of the fulcrum.

(a) Which feature of the load and effort graph must be calculated to determine mechanical advantage?
(b) Which class does this lever belong to?