Find the metal and its density if the body weight in air is 3.5N and in water 2.2N.

The weight of the body in air will coincide with the force of gravity:

P (in air) = Ftyazh = m * g = V * ρ (metal) * g;

Body weight in water decreases due to the action of the Archimedes force:

FA = V * ρ (water) * g;

FA = Ftyazh – P (in water) = 3.5 – 2.2 = 1.3 N;

The ratio of the force of gravity to the force of Archimedes will be equal to the ratio of the densities of metal and water:

Ftyazh / FA = (V * g * ρ (metal)) / (V * g * ρ (water)) = 4.5 / 1.3 = 3.46;

ρ (metal) = 3.46 * ρ (water) = 3.46 * 1000 = 3460 kg / m3.

metal – barium

Answer: the metal is barium, its density is 3460 kg / m3.