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A marathon runner with  mass of 50 kg runs up the stirs of a tower, 453 m high in 15 min. what is his average power output in watts? 

Sagot :

glendzmorales

Answer:

His average power is 246.63 Watts

Explanation:

In this problem, we are going to solve for the average power of a marathon runner using the relationship of work, energy, and power. Here, we can solve first the potential energy of the runner which is equivalent to his work and later solve his average power. To do this, we will use the formula

a. PE = mgh

where

PE     is the potential energy, the unit is in Joules (J)

m       is the mass, the unit is in kg

g        is the Earth's pull of gravity, 9.8 m/s²

h        in the height, the unit is in meter (m)

b. P = W /t

where

P     is the power, the unit is in J/s or Watts

W    is the work, the unit is in Joules (J)

t      is the time, the unit is in seconds (s)

Given information

m = 50 kg

h = 453 m

t = 15 min = 900 s

P = ?

Solving the problem

First, let us solve for the potential energy which is also equivalent to work

Work = PE

PE = mgh

Then substitute the given data

PE = (50 kg)(9.8 m/s²)(453 m)

PE = 221,970 J

Therefore, Work = 221,970 J

Now, let us solve the average output power of the runner using the given formula

P = W/t

Then substitute the given data

P = 221,970 J / 900 s

P = 246.63 Watts

Therefore, the average power of the runner is 246.63 Watts

To learn more, just click the following links:

  • Relationship of potential energy to work

       https://brainly.ph/question/16647

  • Similarities of work and energy

       https://brainly.ph/question/1706144

  • Relationship of work, energy, and power

       https://brainly.ph/question/160947

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