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

In summary, when a small solid sphere of mass M0, radius R0, and uniform density ρ0 is replaced by a new solid sphere with a larger radius and the same mass, the water level in the bowl will fall. If the new sphere has a higher density, the water level will either remain unchanged or fall. If the new sphere has a larger mass and the same density, the water level will rise. If the new sphere has the same radius and a smaller mass, the water level will fall. Lastly, if the new sphere has a smaller radius and a higher density, the effect on the water level is unclear.
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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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  • #2
nevermind, got it!
 

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

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

The effects of the new sphere on water level L will depend on several factors, including the size and weight of the sphere, the depth and volume of the water, and the materials used to construct the sphere. However, some potential effects could include:

  • Increased water displacement: Depending on the size and weight of the sphere, it may displace a significant amount of water, causing the water level to rise.
  • Changes in water pressure: As the sphere displaces water, it may also cause changes in water pressure, which could affect nearby bodies of water.
  • Altered water flow: The placement of the sphere may disrupt the natural flow of water, leading to changes in water level.
  • Environmental impact: The introduction of a new sphere into a body of water could have potential environmental impacts, such as changes in water temperature or oxygen levels.
  • Long-term effects: It is important to consider the long-term effects of the new sphere on water level L, as it may have a lasting impact on the ecosystem and surrounding environment.

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