So, the power does Wayne generate each time he goes up stairs is <u>1,000 Watt</u>.
<h3>Introduction</h3>
Hi ! Here, I will help you to calculate the power generated. <u>Power is work done per unit time</u>. If a person or machine can do a large amount of work in the shortest possible time, it will produce or require a large amount of power. The relationship between power, work, and time is expressed in the equation:
With the following condition :
- P = power that produce or require (Watt)
- W = work that had done (J)
- t = interval of the time (s)
Because the person is moving upwards, the work done will be equal to the change in potential energy. See this equation !
... (1)
... (2)
With the following condition :
- F = acting force (N)
- = change of altitude (m)
- m = mass of the object (kg)
- g = acceleration of the gravity (m/s²)
Note :
- Use equation 1, if the action force is known.
- Use equation 2, if the action force is unknown.
<h3>Problem Solving :</h3>
We know that :
- F = acting force = 2,000 N
- = change of altitude = 3 m
- t = interval of the time = 6 s
What was asked :
- P = power that produce or require = ... Watt
Step by step :
<h3>Conclusion</h3>
So, the power does Wayne generate each time he goes up stairs is 1,000 Watt.
<h3>See More :</h3>