A small solid sphere of mass M 0 , of radius R 0 , and of uniform density ? 0 is

Question

A small solid sphere of mass M0, of radius R0, and of uniform density ?0 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.

Timer Notes è Evaluate Feedback- Print Course Contents » » Homework Set #8 (due 6/ 16 at 5PM) » Water Level Info n a large bowl contai ning 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 Mo The new sphere has radius R Po and radius R

Explanation / Answer

the basic concept used here is that if mass increases then level rises and if mass decreases then level falls and if mass remain same then level remain unchanged

1. F because here mass decreases

2. R because here mass increases

3. F because here mass decreases

4. U because mass is same

5. U or F because mass remain same but density increases so it may sink also. if it sinks then level may fall as in that case it may not be able to displace the weight equal to its own weight.

6. R or F or U because in this case mass can be same, more or less

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