Calculate the minimum average power output necessary for a 55.8 kg person to run up a 12.0 m long hillside, which is inclined at 25.0° above the horizontal, in 3.00 s. You can neglect the person's kinetic energy. Express your answer in horsepower. (1 hp = 746 W)
A) 1.24 hp
B) 2.93 hp
C) 1.86 hp
D) 0.740 hp

Question

Quizplus · Accepted Answer

The minimum average power output is calculated using the formula P = (mgh)/t, where m is mass, g is acceleration due to gravity, h is the vertical height, and t is time. First, calculate the vertical height: h = 12.0 m * sin(25.0°). Then, substitute m = 55.8 kg, g = 9.81 m/s², and t = 3.00 s into the formula. Convert the result from watts to horsepower by dividing by 746 W/hp. The calculation gives approximately 1.24 hp.

Calculate the Minimum Average Power Output Necessary for a 55