When the body is completely immersed in water, the weight of the displaced liquid is 50N.
When the body is completely immersed in water, the weight of the displaced liquid is 50N. what is the mass of this body, if its density is 2000 kg / m3.
Body mass:
m = ρ * V, where ρ is the density of the body (ρ = 2000 kg / m ^ 3), V is the volume of the body (m ^ 3).
Displaced water weight:
P = mw * g, where P is the weight of the displaced water (P = 50 N), g is the acceleration of gravity (g = 10 m / s ^ 2).
mw = P / g = 50/10 = 5 kg.
Displaced water volume:
Vw = mw / ρw, where ρw is the density of water (ρw = 1000 kg / m ^ 3).
Vw = mw / ρw = 5/1000 = 0.005 m ^ 3.
Because the volume of displaced water is equal to the volume of the body, then the volume of the body is 0.005 m ^ 3.
Let’s calculate the body weight:
m = ρ * V = 2000 * 0.005 = 10 kg.
Answer: Body weight is 10 kg.