A sphere is dropped into fluid 1 and it floats with about 50% of its volume abov

Question

A sphere is dropped into fluid 1 and it floats with about 50% of its volume above the
surface of the fluid. When the same sphere is dropped into fluid 2 it floats with about
25% of its volume above the surface of the fluid. From these observations you know
immediately that (select all that apply)
a) the sphere has a greater density than either fluid 1 or fluid 2
b) the density of fluid 2 is less than than of fluid 1
c) the sphere’s density is 1/4 that of fluid 2
d) fluid 2 has a greater density than fluid 1
e) the sphere’s density is ½ that of fluid 1

Explanation / Answer

a) as it is floating in both fluid b)as more volume is immersed in liquid than 1 c)as rho_liquid*volume displaced*g=rho_ball*volume of ball*g since volume displaced=.75 of volume of ball rho_ball=(3/4)*volume_fluid 2

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