Question

Площадь малого поршня гидравлического пресса 4см2, а большего 100см2. на малый поршень действует сила 80Н. определить массу груза. который можно поднять с помощью большого пресса

Answer 1

F2/F1=S2/S1 m2g/m1g=S2/S1   m1=80/10=8  100/4=m2/8 m2=25*8=200

Answer 2

Calculation of the Mass of the Load

To calculate the mass of the load that can be lifted using the larger piston of the hydraulic press, we can use the principle of Pascal's law, which states that the pressure exerted on a fluid in a closed system is transmitted equally in all directions.

The formula to calculate the force exerted by the larger piston is:

Force (F2) = Pressure (P2) x Area (A2)

The force exerted by the smaller piston is given as 80 N, and the area of the smaller piston is 4 cm^2. The area of the larger piston is given as 100 cm^2.

Let's calculate the pressure exerted by the smaller piston:

Pressure (P1) = Force (F1) / Area (A1)

Substituting the given values:

P1 = 80 N / 4 cm^2

Now, we can calculate the force exerted by the larger piston:

F2 = P2 x A2

Substituting the calculated value of P1 and the given value of A2:

F2 = P1 x A2

Finally, we can calculate the mass of the load that can be lifted using the larger piston:

Mass = Force (F2) / Acceleration due to gravity (g)

Substituting the calculated value of F2 and the value of acceleration due to gravity (approximately 9.8 m/s^2):

Mass = F2 / 9.8

Let's calculate the mass of the load using the given values.