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]