Question

Площадь поперечного сечения узкого сосуда гидравлического пресса в 12 раз меньше,чем широкого.на меньший поршень поставили груз весом 5 н. груз какой массы надо поместить на большой поршень,чтобы давления на поверхность воды в обоих сосудах оказались равными?

Answer 1

5Н * 12 = 60Н надо поставить на больший поршень

Answer 2

Calculation of Pressure in Narrow and Wide Vessels

To determine the mass of the load that needs to be placed on the larger piston in order to equalize the pressure on the surface of the water in both vessels, we need to consider the relationship between the areas of the cross-sections of the narrow and wide vessels.

Let's assume that the area of the cross-section of the narrow vessel is A and the area of the cross-section of the wide vessel is 12A.

According to Pascal's law, the pressure in a fluid is transmitted equally in all directions. Therefore, the pressure exerted on the surface of the water in both vessels will be the same.

We can use the formula for pressure:

Pressure = Force / Area

In this case, the force is the weight of the load placed on the piston. Let's assume the weight of the load placed on the narrow piston is 5 N.

To find the mass of the load that needs to be placed on the larger piston, we can use the formula:

Force = Mass x Acceleration due to gravity

Let's assume the acceleration due to gravity is 9.8 m/s^2.

Now, let's calculate the mass of the load that needs to be placed on the larger piston.

Calculation:

1. Calculate the area of the narrow vessel: - Let's assume the area of the cross-section of the narrow vessel is A.

2. Calculate the area of the wide vessel: - The area of the cross-section of the wide vessel is 12A.

3. Calculate the pressure exerted on the surface of the water in both vessels: - Since the pressure is the same in both vessels, we can equate the pressures: - Pressure in the narrow vessel = Pressure in the wide vessel - Force / A = Force / (12A)

4. Substitute the known values: - 5 N / A = Force / (12A)

5. Solve for the force on the wide piston: - Cross-multiply and solve for the force on the wide piston: - Force = (5 N / A) x (12A) - Force = 60 N

Therefore, to equalize the pressure on the surface of the water in both vessels, a load with a mass of 60 N needs to be placed on the larger piston.

Please note that the above calculation assumes ideal conditions and neglects factors such as friction and the weight of the pistons themselves.