What Effects Will the New Sphere Have on Water Level L?

AI Thread Summary
The discussion focuses on the effects of replacing a small solid sphere in water with a new sphere of varying size and density on the water level L. The scenarios include changes in radius and density, with outcomes ranging from the water level rising, falling, or remaining unchanged. The participant initially speculated on the outcomes for each case but expressed uncertainty about one scenario. Ultimately, they resolved their confusion regarding the last case. The conversation highlights the relationship between an object's density, mass, and buoyancy in determining water displacement.
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Homework Statement



A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.
Read it to me
The new sphere has radius R > R0 and mass M = M0
The new sphere has mass M = M0 and density ρ > ρ0
The new sphere has mass M > M0 and density ρ = ρ0
The new sphere has radius R = R0 and mass M < M0
The new sphere has radius R < R0 and density ρ = ρ0
The new sphere has radius R < R0 and density ρ > ρ0

Homework Equations




The Attempt at a Solution



I said unchanged, falls/unchanges, rises, falls, falls and then i wasn't sure for the last one. Please Help!
 
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nevermind, got it!
 

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