A 100 kg athlete runs up a flight of stairs that are 20 m in vertical height in 30 seconds. What is the power output of the athlete? A. 250J
B. 100J
C. 750J
D. 20J

Respuesta :

Answer:

Power output, P = 653.33 watts

Explanation:

It is given that,

Mass of the athlete, m = 100 kg

Height of the athlete, h = 20 m

Time taken, t = 30 s

We need to find the  power output of the athlete. The total work done divided by total time taken is called the power output of the athlete. Mathematically, it is given by :

[tex]P=\dfrac{W}{t}[/tex]

W = F.h = mgh

[tex]P=\dfrac{mgh}{t}[/tex]

[tex]P=\dfrac{100\times 9.8\times 20}{30}[/tex]

P = 653.33 watts

So, the power output of the athlete  653.33 watts. Hence, this is the required solution.