Water Level: Effects of New Sphere on L

In summary, when a small solid sphere of mass M0, radius R0, and uniform density ρ0 is replaced by a new solid sphere of different characteristics, the water level L in the bowl can either rise (R), fall (F), or remain unchanged (U) depending on the specific changes made. These changes include decreasing the radius while increasing the density (R and F), keeping the radius the same while decreasing the mass (F), decreasing the density while keeping the radius the same (F), increasing the mass while keeping the density the same (R), and increasing the density while keeping the mass the same (U). Overall, the specific effects on the water level depend on the interplay between these variables and are determined by
  • #1
Jason Domino
2
0

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.

The new sphere has radius R < R0 and density ρ > ρ0
The new sphere has radius R = R0 and mass M < M0
The new sphere has density ρ = ρ0 and radius R < R0
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 mass M = M0 and density ρ > ρ0

Homework Equations


I know Mass=density*volume

The Attempt at a Solution


My most recent attempt, several other combinations tried.
(R or F or U) The new sphere has radius R < R0 and density ρ > ρ0
( F or U) The new sphere has radius R = R0 and mass M < M0
( F ) The new sphere has density ρ = ρ0 and radius R < R0
( R ) The new sphere has mass M > M0 and density ρ = ρ0
( U ) The new sphere has mass M = M0 and density ρ < ρ0
( U ) The new sphere has mass M = M0 and density ρ > ρ0
 
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  • #2
How can that other guy get 87 views and 12 replies in a moment, when i posted 12 minutes ago with not even a view!
 
  • #3
Please explain why you think the second one could be either F or U.
 

1. What is the purpose of the "Water Level: Effects of New Sphere on L" experiment?

The purpose of this experiment is to investigate how a new sphere placed in a body of water will affect the water level, specifically by measuring the change in the liquid level (L) after the sphere is added.

2. How does the size of the sphere impact the water level?

The size of the sphere will directly impact the water level. A larger sphere will displace more water, resulting in a greater change in the liquid level (L) compared to a smaller sphere.

3. What factors can affect the accuracy of the results in this experiment?

Some factors that may affect the accuracy of the results include the precision of the measuring equipment, the positioning of the sphere in the water, and any external factors such as air currents or vibrations.

4. Can the shape of the sphere also affect the water level?

Yes, the shape of the sphere can also impact the water level. A sphere with a larger surface area will displace more water and result in a greater change in the liquid level (L) compared to a sphere with a smaller surface area.

5. How can the results of this experiment be applied in real-life situations?

The results of this experiment can be applied in various real-life situations, such as understanding the effects of adding objects to bodies of water (e.g. dams, boats, etc.), determining the volume of irregularly shaped objects, and studying the displacement of water in various scenarios.

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