Answer:
Power, P = 924.15 watts
Explanation:
Given that,
Length of the ramp, l = 12 m
Mass of the person, m = 55.8 kg
Angle between the inclined plane and the horizontal, [tex]\theta=25^{\circ}[/tex]
Time, t = 3 s
Let h is the height of the hill from the horizontal,
[tex]h=l\ sin\theta[/tex]
[tex]h=12\times \ sin(25)[/tex]
h = 5.07 m
Let P is the power output necessary for a person to run up long hill side as :
[tex]P=\dfrac{E}{t}[/tex]
[tex]P=\dfrac{mgh}{t}[/tex]
[tex]P=\dfrac{55.8\times 9.8\times 5.07}{3}[/tex]
P = 924.15 watts
So, the minimum average power output necessary for a person to run up is 924.15 watts. Hence, this is the required solution.
