Listen Two construction cranes are used to lift identical 1200-kilogram loads of bricks the same vertical distance. The first crane lifts the bricks in 20. seconds and the second crane lifts the bricks in 40. seconds. Compared to the power developed by the first crane, the power developed by the second crane's the same twice as greathalf as greatfour times as great?

Respuesta :

Answer:

The power developed by the 1st crane is twice the power developed by the 2nd crane.

Step-by-step explanation:

According to the question,

work done by both of the cranes are the same. Let it be W.

Then power developed by the first crane,

= [tex]P_{1} = \frac {W}{20}[/tex] unit -----------------(1)

and, the power developed by the 2nd crane,

= [tex]P_{2} = \frac {W}{40}[/tex] unit ------------------(2)

So, we get that,

[tex]P_{2} = \frac {P_{1}}{2}[/tex]

So, the power developed by the 1st crane is twice the power developed by the 2nd crane.

aksnkj

The power developed in the first crane will be twice the power developed in the second crane.

Given information:

Two construction cranes are used to lift identical 1200-kilogram loads of bricks at the same vertical distance.

The first crane lifts the bricks in 20 seconds and the second crane lifts the bricks in 40 seconds.

Now, the load is the same and the vertical lift is also the same. So, the work done W by both the lifts will also be the same.

The power developed by first crane will be,

[tex]P_1=\dfrac{W}{20}[/tex]

The power developed by second crane will be,

[tex]P_2=\dfrac{W}{40}[/tex]

So, the ratio of power developed in two cranes will be,

[tex]P_1:P_2=\dfrac{W}{20}:\dfrac{W}{40}\\P_1:P_2=2:1[/tex]

Therefore, the power developed in the first crane will be twice the power developed in the second crane.

For more details, refer to the link:

https://brainly.com/question/23722642

ACCESS MORE