With what force is pushed out a piece of cast iron with a volume of 23 cm3, completely submerged in water?

With what force is pushed out a piece of cast iron with a volume of 23 cm3, completely submerged in water? The mass of one cubic meter of water is 1 ton. Acceleration of gravity is considered equal to 9.8 m / s2.

To calculate the force that should push the taken piece of cast iron out of the water, we apply the formula: Fa = ρк * g * V.

Values of variables and constants: ρw – water density (by condition ρw = 1000 kg / m3); g – acceleration of gravity (by condition g = 9.8 m / s2); V is the volume of a piece of cast iron (V = 23 cm3 = 23 * 10-6 m3).

Let’s calculate: Fa = ρк * g * V = 1000 * 9.8 * 23 * 10-6 = 0.2254 N ≈ 0.225 N.

Answer: Water should push out a piece of cast iron with a force of 0.225 N.