SCENERIO 1 A solid, homogeneous sphere with a mass of m0, a radius of r0 and a...

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Physics

SCENERIO 1

A solid, homogeneous sphere with a mass of m0, aradius of r0 and a density of ρ0 is placed ina container of water. Initially the sphere floats and the waterlevel is marked on the side of the container. What happens to thewater level, when the original sphere is replaced with a new spherewhich has different physical parameters? Notation: r means thewater level rises in the container, f means falls, s means staysthe same. Combination answers like 'f or s' are possible answers insome of the cases.

r, f, s, r or s, f or s  The new sphere has a density ofρ < ρ0 and a radius of r = r0.
r, f, s, r or s, f or s  The new sphere has a radius of r= r0 and a mass of m < m0.
r ,f ,s ,r or s ,f or s  The new sphere has a radius of r< r0 and a mass of m = m0.

SCENERIO 2

A solid, homogeneous sphere with a mass of m0, aradius of r0 and a density of ρ0 is placed ina container of water. Initially the sphere floats and the waterlevel is marked on the side of the container. What happens to thewater level, when the original sphere is replaced with a new spherewhich has different physical parameters? Notation: r means thewater level rises in the container, f means falls, s means staysthe same. Combination answers like 'r or f or s' are possibleanswers in some of the cases.

r, f, s, r or s, f or s, r or f or s  The new sphere hasa density of ρ > ρ0 and a radius of r 0.
r, f, s, r or s, f or s, r or f or s  The new sphere hasa radius of r < r0 and a mass of m >m0.
r, f, s, r or s, f or s, r or f or s  The new sphere hasa density of ρ < ρ0 and a mass of m >m0.

Answer & Explanation Solved by verified expert
3.5 Ratings (577 Votes)
According to Archimedes Any floating object displaces its own weight of fluid In first case density is lesser of same dimension sphere Hence weight will be lesser So water level rises fall F Second case is same as above    See Answer
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