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

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#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 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 density of ρ > ρ0.
r f s r or s f or s  The new sphere has a density of ρ> ρ0 and a mass of m = m0.

#1.1 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 '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 has aradius 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 has adensity of ρ < ρ0 and a mass of m >m0.
r f s r or s f or s r or f or s  The new sphere has adensity of ρ > ρ0 and a radius of r 0.

Please help

Answer & Explanation Solved by verified expert
3.7 Ratings (674 Votes)
1 Here we shall be using Archimedes Principle which states that the object floats if the water displacement is balanced by the weight of the object For first case m m0 Since mass increases and hence the weight increases so the water displacement    See Answer
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