Respuesta :
Answer: 196.2 W
Explanation:
The formula for average power is given as:
P = [tex]\dfrac{W}{t}[/tex], where:
- P is power (Watts)
- W is work (Joules)
- t is time (seconds)
Work is the energy that is transferred when a force acts upon an object when it is displaced. The form of energy that is at hand in this problem is gravitational potential energy, which is given as U = mgh, where:
- U is gravitational potential energy (Joules)
- m is mass (kilograms)
- g is the acceleration due to gravity (m/s²)
- h is the height at which the object placed (meters)
Therefore, W = U. We can substitute this into the formula for power:
P = [tex]\dfrac{mgh}{t}[/tex]
We are given (or know the values of):
- m = 60 kg
- g = 9.81 m/s²
- h = 300 m
- t = 900 s (15 minutes is 900 seconds)
Let's plug these values into the equation to solve for the average power:
P = [tex]\dfrac{60*9.81*300}{900}[/tex]
P = 196.2 W
The average power output during the climb was 196.2 W.
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