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Water level involving Density, mass, volume, radius

  • #1

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.

1. The new sphere has density ρ > ρ0 and radius R < R0
2. The new sphere has mass M > M0 and density ρ = ρ0
3. The new sphere has density ρ = ρ0 and mass M < M0
4. The new sphere has radius R = R0 and mass M < M0
5. The new sphere has density ρ < ρ0 and mass M = M0
6. The new sphere has mass M = M0 and density ρ > ρ0

Homework Equations


d=m/v, Fb=pgv

The Attempt at a Solution


1. R or F or U
2. R or U
3. F
4. F
5. U
6. F or U


really struggling with this problem, have tried multiple attempts, really just want to understand this problem and what I did wrong. Thanks
 

Answers and Replies

  • #2
TSny
Homework Helper
Gold Member
12,408
2,841
Welcome to PF!

Can you explain your reasoning for #2?
 

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