A wooden cylinder floats in water with two-third of its...

A wooden cylinder floats in water with two-third of its volume inside the water. The density of wood is (A) $\frac{1000}{3} \mathrm{~kg} / \mathrm{m}^{3}$ (B) $\frac{2000}{3} \mathrm{~kg} / \mathrm{m}^{3}$ (C) $\frac{500}{3} \mathrm{~kg} / \mathrm{m}^{3}$ (D) $250 \mathrm{~kg} / \mathrm{m}^{3}$

A wooden cylinder floats in water with two-third of its volume inside the water. The density of wood is
(A) $\frac{1000}{3} \mathrm{~kg} / \mathrm{m}^{3}$
(B) $\frac{2000}{3} \mathrm{~kg} / \mathrm{m}^{3}$
(C) $\frac{500}{3} \mathrm{~kg} / \mathrm{m}^{3}$
(D) $250 \mathrm{~kg} / \mathrm{m}^{3}$

Key Concepts

Archimedes' Principle

This principle states that any object wholly or partially immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object. It is fundamental in determining why and how objects float, sink, or remain neutrally buoyant in a fluid.

Floating Equilibrium

For a floating object, the condition of equilibrium is achieved when its weight is exactly balanced by the buoyant force. This means that the weight of the displaced fluid equals the weight of the object, linking the volume submerged to the densities of both the object and the fluid.

Density

Density is defined as the mass per unit volume of a substance. In the context of buoyancy, an object floats if its density is lower than the density of the fluid it displaces. The fraction of the volume submerged is directly proportional to the ratio of the object's density to the density of the fluid.

Transcript

Please give Ace some feedback