Body weight 4800g body density 240 kg / m 3 to determine the Archimedean force acting

Body weight 4800g body density 240 kg / m 3 to determine the Archimedean force acting on the body completely immersed in clean water.

Let’s translate all the values ​​from given to the SI system:
m = 4800 gr = 4.8 kg.
A buoyant force equal to the weight of the displaced fluid acts on a body immersed in a liquid, and is called the Archimedes force:
Fа = ρж * g * V, where ρж is the density of the liquid, g is the acceleration of gravity of a body raised above the Earth g = 9.8 m / s², V is the volume of the body.
We write down the formula for determining the mass, through the density:
m = ρ * V
Let us express the volume from this expression:
V = m / ρ
Let’s substitute this expression in force of Archimedes:
Fa = ρl * g * V = ρl * g * m / ρ
According to the reference book, the density of water is ρzh = 1000 kg / m³.
Substitute the numbers and find the buoyancy:
Fa = ρl * g * m / ρ = 1000 * 9.8 * 4.8 / 240 = 196 N.
Answer: Archimedean force is 196 N.