Calcular el area que debe tener el embolo mayor de una prensa hidráulica para obtener una fuerza de 2500N, cuando el émbolo menor tiene un área de 22cm2 y aplica una fuerza de 150N?

Explicación:

Presión en el pistón más grande = Presión en el pistón más pequeño

Presión = Fuerza / Área

F1 / A1 = F2 / A2

Dado

F1 = 2500

F2 = 150

A1 =?

A2 = 22 cm²

Sustituir

2500 / A1 = 150/22

Cruz multiplicar

150A1 = 2500 * 22

A1 = 2500 * 22/150

A1 = 55000/150

A1 = 366,7 cm²

El área del pistón más grande de la prensa hidráulica es de 366,7 cm²

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

the answer is the first electromagnet (a). this is because it has more coils around the ferromagnetic material. increasing the number of coils increases the surface area in which the metal interacts with the current in the coil. this enables more atoms in the metal to become aligned hence becoming more magnetized.