Question

Пожилые греки рассказывают, что Архимед обладал чудовищной силой. Даже стоя по пояс в воде, он легко поднимал одной левой массу в 1000кг. Правда, только до пояса, выше поднимать отказывался. Могут ли быть эти россказни правдой? Вычислите выталкивающую силу, действующую на тело объемом 2м3 в спирте.Как найти объем тела, если известна сила Архимеда?Какие силы нужно знать, чтобы выяснить поведение тела в жидкости?

Answer 1

Ответ:

1.
F а = ρ ж *  g * V т
Дано:
ρ ж = 789 кг/м3 ( этиловый спирт )
g = 9,8 м/c²
V т = 2м³
Найти : F а
F а = ρ ж *  g * V т
F а = 789 * 9,8 * 2 = 15464.4 Н

2.
V т = F а / ρ ж * g
Объём тела равен силе Архимеда делённую на произведение плотности жидкости и ускорения свободного падения.

3.
Сила Архимеда и сила тяжести.

Объяснение:

V т - Объём тела
g - Ускорение свободного падения
ρ ж  Плотность жидкости
F а - Сила Архимеда

Answer 2

Archimedes' Strength and Buoyant Force

The claim that elderly Greeks tell stories of Archimedes possessing tremendous strength, being able to easily lift a 1000kg mass with one hand while standing waist-deep in water, is likely a myth or exaggeration. There is no historical evidence or reliable sources to support this claim. Archimedes was renowned for his contributions to mathematics, physics, and engineering, particularly in the field of buoyancy and the principle of displacement, rather than for extraordinary physical strength [[1]].

Calculating Buoyant Force and Volume of a Body in a Liquid

To calculate the buoyant force acting on a body submerged in a liquid, you can use the formula:

Buoyant force = weight of the liquid displaced by the body

The volume of the body can be found if the buoyant force and the density of the liquid are known. The formula to find the volume of the body is:

Volume = Buoyant force / Density of the liquid

For example, if the buoyant force acting on a body with a volume of 2m^3 in alcohol (assuming "спирт" refers to alcohol) is to be calculated, the density of alcohol (ρ) is required. The buoyant force can be calculated using the formula mentioned above.

Forces Affecting the Behavior of a Body in a Fluid

To understand the behavior of a body in a fluid, several forces need to be considered:

1. Buoyant Force: This is the upward force exerted by a fluid on an object submerged in it. It is equal to the weight of the fluid displaced by the object.

2. Gravity: The force of gravity acts downward on the object, affecting its weight.

3. Drag Force: When an object moves through a fluid, it experiences a drag force due to the resistance of the fluid.

4. Surface Tension: This force is present at the surface of a liquid and can affect the behavior of objects placed on or submerged in the liquid.

Understanding these forces is essential for analyzing the behavior of objects in fluids, as demonstrated by Archimedes' principle and the concept of buoyancy.

If you have any further questions or need additional information, feel free to ask!