Question

Соснова колода об'ємом 80літрів плаває на поверхні води.Знайти об'ємну колоду,що знаходиться під водою.Густина сосни 400кг/м3,води1000кг/м3.

Answer 1

V = V_колоды* (В_воды/С_сосны)

где V_колоды = 80 л = 0.08 м^3 - объем всего бревна

В_воды = 1000 кг/м^3 – плотность воды

С_сосны = 400 кг/м^3 – плотность сосны

Следовательно, V = 0.08*(1000/400) = 0.2 м^3

Таким образом, объемное бревно, находящееся под водой, составляет 0.2 м^3.

Answer 2

Finding the Submerged Volume of a Pine Log

To find the submerged volume of a pine log, we need to consider the density of the pine and water, as well as the volume of the log that is above the water surface. Let's break down the problem step by step.

1. Given information: - Volume of the pine log floating on the water surface: 80 liters. - Density of pine: 400 kg/m³. - Density of water: 1000 kg/m³.

2. Calculating the volume of the pine log: - The volume of the pine log floating on the water surface is given as 80 liters. - To convert liters to cubic meters, we divide by 1000: 80 liters / 1000 = 0.08 cubic meters.

3. Calculating the mass of the pine log: - Mass = Density * Volume. - The density of pine is given as 400 kg/m³. - Therefore, the mass of the pine log is: 400 kg/m³ * 0.08 cubic meters = 32 kg.

4. Calculating the volume of the pine log submerged in water: - Let's assume the volume of the submerged part of the pine log is V. - The total volume of the pine log is the sum of the volume above the water surface (80 liters or 0.08 cubic meters) and the submerged volume (V). - Therefore, the total volume of the pine log is: 0.08 cubic meters + V.

5. Applying Archimedes' principle: - According to Archimedes' principle, the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. - The buoyant force can be calculated as the density of water multiplied by the volume of the submerged part of the pine log: Buoyant force = Density of water * V. - The weight of the pine log is equal to its mass multiplied by the acceleration due to gravity: Weight = Mass * Gravity. - Since the pine log is in equilibrium, the weight of the log is balanced by the buoyant force: Weight = Buoyant force. - Therefore, we can equate the two equations: Mass * Gravity = Density of water * V. - Solving for V, we find: V = (Mass * Gravity) / Density of water.

6. Calculating the submerged volume of the pine log: - Plugging in the values, we have: V = (32 kg * 9.8 m/s²) / 1000 kg/m³. - Simplifying the equation, we get: V = 0.3136 cubic meters.

Answer:

The submerged volume of the pine log is approximately 0.3136 cubic meters.