A small solid sphere of mass M0, of radius R0, and of uniform density 0 is place
ID: 1438317 • Letter: A
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.
The new sphere has radius R = R0 and density < 0
The new sphere has mass M < M0 and density = 0
The new sphere has radius R > R0 and density = 0
The new sphere has density > 0 and radius R < R0
The new sphere has mass M = M0 and density < 0
The new sphere has radius R < R0 and mass M = M0
Explanation / Answer
no change
no change or fall according to how much R<R0
can't say, depends on how much change is there.
rise
fall
rise
look how much of the volume of the sphere is under water surface. this volume times the water density should be equal to the mass of the sphere. then:
When the mass is constant, no change happens until the density goes up till the sphere drowned entirely, if density goes upper than that, volume decreases and L falls.
when R is constant, water level rises as the mass or density increases until the sphere drowned, then it remains constant.
when the density is constant, mass and volume change the same. whichever rises, the second rises too and water level goes up.
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