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

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Physics

A solid, homogeneous sphere with a mass of m0, a radius of r0and a density of ρ0 is placed in a container of water. Initiallythe sphere floats and the water level is marked on the side of thecontainer. What happens to the water level, when the originalsphere is replaced with a new sphere which has different physicalparameters?

Notation: r means the water level rises in the container, fmeans falls, s means stays the same.

1. The new sphere has a density of ρ = ρ0 and aradius of r < r0.
2. The new sphere has a mass of m > m0 and a densityof ρ = ρ0.
3. The new sphere has a radius of r > r0 and a massof m = m0.

4. The new sphere has a mass of m = m0 and a densityof ρ > ρ0.  
5. The new sphere has a radius of r = r0 and a densityof ρ > ρ0.
6. The new sphere has a mass of m > m0 and a radiusof r = r0.

7. The new sphere has a density of ρ < ρ0 and aradius of r > r0.
8. The new sphere has a radius of r < r0 and a massof m > m0.
9. The new sphere has a density of ρ > ρ0 and a massof m < m0.

Answer & Explanation Solved by verified expert
4.3 Ratings (737 Votes)
we know when an object floats the amount of water diaplaced is same as weight of object Thus if mass remains same the amount of displaced water will also remain same We know    See Answer
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