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

ID: 1262770 • 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, RU-Rise OR Unchanged, FU-Fall OR Unchanged, RFU-Rise OR Fall OR Unchaned), (6 answer options) 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 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 radius R < R0
The new sphere has density ? < ?0 and radius R > R0
The new sphere has radius R > R0 and density ? = ?0

Explanation / Answer

The new sphere has radius R < R0 and density ? = ?0   fall

The new sphere has radius R > R0 and mass M = M0 no change

The new sphere has radius R = R0 and mass M < M0 rises

The new sphere has mass M = M0 and radius R < R0 no change or fall according to how much R<R0   

The new sphere has density ? < ?0 and radius R > R0 rise

The new sphere has radius R > R0 and density ? = ?0    rise

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