trejoethan
Answered

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How much power does it take for a student to climb a flight of stairs if their mass is 75 kg, the height of the stairs is 10 meters, and it takes them 25 seconds to climb?

Sagot :

leena

Hi there!

We can begin solving for the work necessary using the following:

[tex]W = \Delta U = mg\Delta h[/tex]

W = Work (J)

Δh = change in height (10 m)
m = mass (75 kg)
g = acceleration due to gravity (9.8 m/s²)

Plug in the givens:

[tex]W = 75 \cdot 9.8 \cdot 10 = 7350 J[/tex]

Now, we can solve for power with this equation:
[tex]\large\boxed{P = \frac{W}{t}}[/tex]

P = Power (Watts)

W = Work (J)
t = time (s)

Plug in the values:


[tex]P = \frac{7350}{25} = \boxed{294 W}[/tex]

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