Question

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?

Answer 1

Hi there!

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

`W = \Delta U = mg\Delta h`

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:

`W = 75 \cdot 9.8 \cdot 10 = 7350 J`

Now, we can solve for power with this equation:

`\large\boxed{P = (W)/(t)}`

P = Power (Watts)

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

Plug in the values:

`P = (7350)/(25) = \boxed{294 W}`