In: Physics
In a lava lamp, a waxy fluid (say ρ= 1225[kg/m3]) is surrounded by another fluid
(say ρ= 1200[kg/m3]), they are mutually insoluble, and they are heated by a lamp in the
bottom of the apparatus. The densities of these materials are very similar, where the
waxy one is greater at normal room temperature. As the liquids are heated, the waxy
density becomes less than the surrounding fluid and it rises. What is the buoyant force on
a spherical waxy blob, with radius 0.10[m] in the surrounding fluid? What is the force
due to gravity on this blob? When the blob heats and its density becomes 1100[kg/m3],
how much of its volume is submerged? How do the buoyant force and the force due to
gravity compare now?