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A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is...

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Physics

A small solid sphere of mass M0, of radiusR0, and of uniform density ρ0 is placed in alarge bowl containing water. It floats and the level of the waterin the dish is L. Given the information below, determine thepossible effects on the water level L, (R-Rises, F-Falls,U-Unchanged), when that sphere is replaced by a new solid sphere ofuniform density.
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R F U R or U F or U R or F or U  The new sphere hasdensity ρ = ρ0 and radius R < R0
R F U R or U F or U R or F or U  The new sphere hasdensity ρ > ρ0 and mass M = M0
R F U R or U F or U R or F or U  The new sphere hasradius R > R0 and density ρ < ρ0
R F U R or U F or U R or F or U  The new sphere has massM > M0 and density ρ = ρ0
R F U R or U F or U R or F or U  The new sphere hasradius R = R0 and mass M > M0
R F U R or U F or U R or F or U  The new sphere has massM = M0 and density ρ < ρ0

Think Archimedes Principle. How does the volume displaced by afloating object differ from the volume displaced by an object thatsinks?

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