Question

Какова плотность тела ,если при полном погружении в керосин на него действует Fa равная половине Fтяжести

Answer 1

Fa(Архимедова сила) = g*p(плотность жидкости)*V(объем погруженного тела)

Fтяж = m*g

2Fa = Fтяж

2*g*pж*Vт=m*g

m= p(погруженного тела)*V(тела)

2*g*pж*Vт=pт*Vт*g

Убираем g и Vт

2*pж=pт*g

pт = (2*pж)/g.

Ответ: Плотность тела pт = (2*pж)/g.

Answer 2

Calculating Density of the Object

To calculate the density of the object, we can use the formula: density = mass / volume. However, in this case, we are given the force acting on the object when fully submerged in kerosene. We can use this information to calculate the density.

Using the Given Force Information

The force acting on the object when fully submerged in kerosene is given as Fa = 1/2 * Fgravity.

Relationship Between Force, Mass, and Volume

The force acting on an object submerged in a fluid is related to the difference between the weight of the fluid displaced and the weight of the object. This relationship can be expressed as Fbuoyancy = Fgravity - Fa.

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. This can be expressed as Fbuoyancy = density * g * V, where g is the acceleration due to gravity and V is the volume of the object.

Calculating Density

By combining the given information and the principles mentioned above, we can calculate the density of the object using the provided force information and the relationship between force, mass, and volume.

The density of the object can be calculated using the formula: density = (Fgravity - Fa) / (g * V), where g is the acceleration due to gravity and V is the volume of the object.

This calculation will provide the density of the object when fully submerged in kerosene and experiencing a force equal to half of its weight.