A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of ?

Question

A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of ?0 is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'r or f or s' are possible answers in some of the cases.

The new sphere has a radius of r < r0 and a mass of m > m0

. The new sphere has a radius of r > r0 and a density of ? < ?0

. The new sphere has a density of ? < ?0 and a mass of m > m0

Explanation / Answer

Case 1 :  r < r0 and m > m0

lt means density increases and volume decreases, water level will rise.

case 2 : r > r0 and ? < ?0

lt means volume increases and density decreases, can't say anything.

lt depends on new density and volume. water level may rise or fall or stays same.

case 3 : ? < ?0 and m > m0

density decreases and mass increases, means volume increases.

water level will rise.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.