A ball with a radius of 5 cm is immersed in a liquid with a density of 1.4 g / cm3.

A ball with a radius of 5 cm is immersed in a liquid with a density of 1.4 g / cm3. Calculate the Archimedes force acting on the ball.

These tasks: ρzh (density of the liquid taken) = 1.4 g / cm3 (in SI system ρzh = 1400 kg / m3); R (radius of a ball immersed in liquid) = 5 cm (in SI system R = 0.05 m).

Constants: g (acceleration due to gravity) ≈ 10 m / s2.

We calculate the Archimedes force acting on the ball by the formula: Fa = ρzh * g * V = ρzh * g * 4/3 * Π * R ^ 3.

Let’s calculate: Fa = 1400 * 10 * 4/3 * 3.14 * 0.05 ^ 3 = 7.33 N.

Answer: An Archimedes force of 7.33 N. acts on the ball in the taken fluid.