In an ideal pulley system, a woman lifts a 100 N crate by pulling a rope downward with a force of 25 N. For every 1 meter length of rope she pulls downward, the crate rises. A. 50 cm. B. 45 cm. C. 25 cm. D. None of these.

Respuesta :

Answer:

The crate rises up 25 cm.    

Explanation:

It is given that,

Weight of crate, W₁ = 100 N

A woman lifts a crate by pulling a rope downward with a force of, W₂ = 25 N.    

For every 1 meter length of rope she pulls downward, the crate rises.

d₁ = ?

d₂ = 1 m = 100 cm

It can calculated by using by the following relation :

W(input) = W(output)

[tex]F_1d_1=F_2d_2[/tex]

[tex]d_1=\dfrac{F_2d_2}{F_1}[/tex]

[tex]d_1=\dfrac{25\times 100}{100}[/tex]

d₁ = 25 cm

Hence, for every 1 meter length of rope she pulls downward the crate rises upto 25 cm.

A pulley is a wheel on an axle or shaft that supports the movement and direction changing of a taut cable or belt. The crate rises up to 25 cm.

What is a pulley?

A pulley is a wheel on an axle or shaft that supports movement and direction changing of a taut cable or belt, as well as power transfer between the shaft and the cable or belt.

The forces are balanced in nature. That's why the work done by both forces is the same

W₁=W₂

F₁d₁=F₂d₂

[tex]\rm d_1=\frac{F_2d_2}{F_1} \\\\ \rm d_1=\frac{100 \times 25}{100} \\\\\ \rm d_1=25N[/tex]

Hence the crate rises up to 25 cm.

To learn more about the pulley refer to the link;

https://brainly.com/question/13752440