A small solid sphere of mass M0, of radius R0, and of unifor

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

Homework Equations




The Attempt at a Solution


1 R
2.F
3. F
4. U
5. R,F,U
6. U
 

Answers and Replies

  • #2
for 3.i think it will rise because the force by water is ρ(of water) x volume x g(acc. due to gravity).if ρ is less than ρ(water)
 
  • #3
berkeman
Mentor
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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
1.The new sphere has density ρ = ρ0 and radius R > R0
2.The new sphere has radius R < R0 and density ρ = ρ0
3.The new sphere has radius R = R0 and density ρ < ρ0
4.The new sphere has density ρ < ρ0 and mass M = M0
5.The new sphere has radius R < R0 and density ρ > ρ0
6.The new sphere has density ρ > ρ0 and mass M = M0

Homework Equations




The Attempt at a Solution


1 R
2.F
3. F
4. U
5. R,F,U
6. U
Please show your work/reasoning behind your answers...
 
  • #4
haruspex
Science Advisor
Homework Helper
Insights Author
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2020 Award
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Be careful with 6. What are all the possible consequences of increased density?
 

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