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A runner with a mass of 85 kg jogs at a constant speed up a hill with a vertical height of 29.0 m in 103 seconds. Calculate the average power required by the runner.

Answer :

Final answer:

To calculate the average power required by the runner, we can use the formula Power = Work / Time. Substituting the given values, we can calculate the average power.

Explanation:

To calculate the average power required by the runner, we can use the formula:


Power = Work / Time


The work done by the runner can be calculated as the change in potential energy:


Work = mgh


where m is the mass of the runner, g is the acceleration due to gravity, and h is the vertical height of the hill.


Plugging in the values into the formula, we have:


Power = (mass) x (gravity) x (height) / time


Substituting the given values, we have:


Power = (85 kg) x (9.8 m/s^2) x (29.0 m) / 103 s


Calculating this expression will give us the average power required by the runner.

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