Determine the buoyancy force acting on a stone, the volume of which is 10 cubic cm

Determine the buoyancy force acting on a stone, the volume of which is 10 cubic cm, when it is fully immersed in water. What force must be applied to the stone to keep it in the water?

Data: V (volume of stone taken) = 10 cm3 (10 * 10 ^ -6 m3).

Constants: ρw (water density) = 1000 kg / m3; g (acceleration due to gravity) = 9.81 m / s2 ≈ 10 m / s2; ρк (stone density) = 4 g / cm3 (4000 kg / m3).

1) Buoyancy force: Fa = ρw * g * V = 1000 * 10 * 10 * 10 ^ -6 = 0.1 N.

2) The force to hold the stone in water: F = Ft – Fа = m * g – Fa = ρк * V * g – Fa = 4000 * 10 * 10 ^ -6 * 10 – 0.1 = 0.4 – 0, 1 = 0.3 N.

Answer: The buoyancy force is 0.1 N; to hold a stone in water, a force of 0.3 N. is required.