Question

Archimedes Principle An aluminum ball of mass 54.0 g and density 2.70 g/cm3 is placed in a beaker filled with water. a.) What is the volume of the ball? b.) What is the volume of water that will spill out of the beaker? c.) What is the buoyant force of the water on the ball?

Answer 1

a) $V=m/\rho=54/2.7=20\ (cm^3)$

b) $V_w=V=20\ (cm^3)$

c) $F=mg=\rho_{water}\cdot V_w\cdot g=1000\cdot20\cdot10^{-6}\cdot9.8=0.196\ (N)$