Question

A crane lifts a load of 15000N to a height 40m in 50 seconds. Calculate the power of the crane​

Answer 1

P = 12000 W

Step-by-step explanation:

General data:

• F = 15000 N
• d = 40 m
• t = 50 s
• P = ?

Work is force times unit of distance. So in order to calculate the power we must first calculate the work.

Formula:

• 
  `\boxed{\bold{W=(F)/(d)}}`

Replace and solve

• 
  `\boxed{\bold{W=(15000\ N)/(40\ m)}}`

• 
  `\boxed{\bold{W=600000\ J}}`

once the work is found, we proceed to find the power according to the formula:

• 
  `\boxed{\bold{P=(W)/(t)}}`

• 
  `\boxed{\bold{P=(600000\ J)/(50\ s)}}`

• 
  `\boxed{\boxed{\bold{P=12000\ W}}}`

The power of the crane is 12000 Watts.

Greetings.