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If a runner exerts 457 j of work to make 321 w of power then how long did it take the runner to do the work

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Nuhulawal20idn

The time taken by the runner to do the work is 1.42 seconds.

Given the data in the question;

  • Work done; [tex]W = 457J[/tex]
  • Power; [tex]P = 321W[/tex]
  • Time elapsed; [tex]t = \ ?[/tex]

Power

Power can be simply referred to as the quantity of energy transferred per unit time.

It is expressed as;

[tex]P = \frac{W}{t}[/tex]

Where W is work done and t is time elapsed.

To determine the time it took the runner to do the work, we substitute our given values into the expression above.

[tex]P = \frac{W}{t} \\\\t = \frac{W}{P} \\\\t = \frac{457J}{321W} \\\\t = \frac{457 kgm^2/s^2}{321 kgm^2/s^3}\\\\t = 1.42s[/tex]

Therefore, the time taken by the runner to do the work is 1.42 seconds.

Learn more about Power and Work: https://brainly.com/question/2962104

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