A small solid sphere of mass M0, of radius R0, and of uniform density 0 is place
ID: 1442760 • 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.
R, F, U, R or U, F or U, R or F or U The new sphere has density = 0 and radius R > R0
R, F, U, R or U, F or U, R or F or U The new sphere has mass M = M0 and density < 0
R, F, U, R or U, F or U, R or F or U The new sphere has mass M < M0 and density = 0
R, F, U, R or U, F or U, R or F or U The new sphere has radius R = R0 and density < 0
R, F, U, R or U, F or U, R or F or U The new sphere has mass M = M0 and density > 0
R, F, U, R or U, F or U, R or F or U The new sphere has density > 0 and radius R < R0
Please select R, F, U, R or U, F or U, R or F or U for each question. Thanks for the help!
Explanation / Answer
Here ,
for the change in level of water
the object must be submerged more in the water
for this mass of object must be higher
hence , for each case
the new sphere has density = 0 and radius R > R0
as volume of sphere is higher , Level will RISE (R)
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The new sphere has mass M = M0 and density < 0
as the mass is same , level will be unchanged , U
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The new sphere has mass M < M0 and density = 0
as the mass is lower than the initial mass , the level will Fall (F)
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the new sphere has radius R = R0 and density < 0
as the mass will decrease . the the level will Fall (F)
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The new sphere has mass M = M0 and density > 0
as the mass is same , level will be unchanged , U
-----
The new sphere has density > 0 and radius R < R0
the mass is same , level will be unchanged , U
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