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

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,

***ANSWER POSSIBILITIES ARE : RISE, FALL, UNCHANGED, RISE OR UNCHANGED, FALL OR UNCHANGED, AND FALL OR RISE OR UNCHANGED***

The new sphere has mass M = M0 and density > 0
The new sphere has radius R = R0 and mass M < M0
The new sphere has radius R > R0 and mass M = M0
The new sphere has mass M < M0 and density = 0
The new sphere has density < 0 and radius R > R0
The new sphere has radius R > R0 and density = 0

Explanation / Answer

1) same mass: Unchanged

2) rises

3) same mass: Unchanged

4) As radius increases, the volume increases, the density decreases, fraction under decreases, so water level lowers.

5) lower density, greater radius; mass might go up, down, or stay same:
R or F or U

6) larger radius, same density, so larger mass: R

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