1. Three identical cubes of side 2 cm and density 4gcm are placed one over other in a container filled with three immiscible liquids A, B and C as shown in the figure. If the densities of A, B and C are 3gcm,2gcm,1gcm respectively
determine the net force exerted by the cubes at the bottom of the container.are placed one over the other in a container.
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given = cubes of side 2cm
density = 4g/cm
A= 3gmc
B= 2gmc
C = 1gcm
to find = net force
solution =
let consider the masses of cubes are m= mA + mB + mC
apply the formula of density
ρ = m /v
total volume of cube is v = 3 x a³ = 3 x a³ = 3x2³= 24cm³
now, 4 = m/ 24
total weight
w= mg
w = 24 x 0.096Kg
w = mg = 0.096 x 9.8= 0.940N
total upthrust force F = vg x ρA +ρB+ ρC
F= 2³ x 9.8 x(3 + 2 + 1)x10⁻³
F = 0.4704N
for finding net force ,
F= total weight - total upthrust
F = 0.940- 0.4704
F= 0.4696N
so,the net force is 0.4696N.
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