Question

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

Answer 1

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

Given the data in the question;

• Work done; $W = 457J$

• Power; $P = 321W$

• Time elapsed; $t = \ ?$

Power

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

It is expressed as;

$P = \frac{W}{t}$

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.

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

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

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