- #1
ScrubTier
- 27
- 0
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.
https://s3.lite.msu.edu/enc/74/b3c49e2ca8cb7c50641a94dd509544cd403157aec9507f20a52bdc5947f0cb19184f2a219a924c3481bb57610950b65b7dd0f547f2f8b7a8b89c27e8be908981d875d7cfcda8738d36912b4c413a1f8c3b2a53a7dd9ca143fd48be3e50ded0c9.mp3
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 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
B=mass/volume
1. U
If it is not submerged then the displacement is equal to mass which doesn't change
2. F
This means less mass therefore less displacement
3. U
If it is not submerged then the displacement is equal to mass which doesn't change
4. R
More displacement
5. R
More displacement
6. R or F or U
It depends how it effects the mass[/B]
https://s3.lite.msu.edu/enc/74/b3c49e2ca8cb7c50641a94dd509544cd403157aec9507f20a52bdc5947f0cb19184f2a219a924c3481bb57610950b65b7dd0f547f2f8b7a8b89c27e8be908981d875d7cfcda8738d36912b4c413a1f8c3b2a53a7dd9ca143fd48be3e50ded0c9.mp3
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 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
Homework Equations
B=mass/volume
The Attempt at a Solution
1. U
If it is not submerged then the displacement is equal to mass which doesn't change
2. F
This means less mass therefore less displacement
3. U
If it is not submerged then the displacement is equal to mass which doesn't change
4. R
More displacement
5. R
More displacement
6. R or F or U
It depends how it effects the mass[/B]