two bodies are equilibrium when suspended in water from the arm of a balance.the mass of one body is 36g and its density is 9g/cm³

if the mass of the otheris 48g.what is its density

Question

two bodies are equilibrium when suspended in water from the arm
of a balance the mass of one body is 36g and its density is
9g/cm3
if the mass of the otheris 48g what is its density

Komal Jain · Accepted Answer

The information provided in the question is as follows:

Mass of body 1, m1
36 g

Density of body 1, ρ1
9 g/cm3

Mass of body 2, m2
48 g

The volume of body 1, V1=m1ρ1=369=4 cm3The weight of body 1 in the water,W1=m1g-V1ρwgThe weight of the body 2 in water,W2=m2g-V2ρwgAs the two weights balances each other, therefoW1=W2⇒m1g-V1ρwg=m2g-V2ρwg⇒m1-V1ρw=m2-V2ρw⇒36-4=48-V2⇒V2=48-32=16 cm3Therefore, the density of body 2,ρ2=m2V2=4816=3 g/cm3

Mass of body 1, m₁	36 g
Density of body 1, ρ₁	9 g/cm³
Mass of body 2, m₂	48 g

two bodies are equilibrium when suspended in water from the arm of a balance.the mass of one body is 36g and its density is 9g/cm3 if the mass of the otheris 48g.what is its density

two bodies are equilibrium when suspended in water from the arm of a balance.the mass of one body is 36g and its density is 9g/cm³

if the mass of the otheris 48g.what is its density