In: Physics
A platinum sphere with radius 0.0161 m is totally immersed in mercury.The densities of platinum and mercury are 2.14*10^4 kg/m3 and 1.36*10^4 kg/m3, respectively.
Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere\'s apparent weight.
Radius of sphere, r=0.0161 m
Volume of sphere, V=(4/3)*pi*r3
=(4/3)*3.14*0.01613=1.75*10-5 m3
Weight of sphere=Volume*density of sphere*g
=1.75*10-5*2.14*104*9.8
=3.67 N
Buoyant force= Volume*density of mercury*g
=1.75*10-5*1.36*104*9.8
=2.33 N
Apparent of sphere=Volume*(density of sphere-density of mercury)*g
=1.75*10-5*(2.14*104-1.6*10-4) 9.8
=1.34 N