The Eiffel Tower in Paris is 300m high. Louis took 15 minutes to climb its 1792 steps. He has a mass of 60kg. ? What was his average power output during the climb? ​

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.

Learn more about power here: https://brainly.com/question/11569624