Help :( 1). 2). A solid, homogeneous sphere with a mass of mo, a radius of ro an

Question

Help :(

1).

2).

A solid, homogeneous sphere with a mass of mo, a radius of ro and a density of Po is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'f or s' are possible answers in some of the cases The new sphere has a radius of r ro and a mass of m > mo The new sphere has a radius of r ro and a density of p po and a mass of m = mo. Use Archimedes's Principle

Explanation / Answer

1.a. Radius remains same while mass is greater, more portion of it is inside the water now and water level Rises(r).

b. Radius remaining the same , density is decreased, which means mass is also decreased. This is the reverse of previous situation and water level Falls(f)

c. Here the mass remains same and the density is increased. The mass remaining same it should remain unchanged but if the density is increased so much that the ball completely sinks, then it may fall also. (U or f)

2.a. Here the mass is increased and the radius is decreased, if the density is increased so much that the ball sinks, water level will fall. If the change in mass is of higher order as compared to change in radius, then it may rise.(r or f or s)

b. Mass is decreased, but the density is increased this means that the radius is also decreased. so the water level will fall.(f)

c. Density is increased but the radius is decreased. So the change in mass is unknown. So the water level can rise or fall or remain unchanged.(r or f or s)

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