A runner exerts a force of 234 N against the ground while using 1100 W of power. How long does it take them to run a distance of 30.0 m

6.38 seconds

Explanation:

We are given;

The force exerted by the runner as 234 N Power used = 1100 W Distance as 30.0 m

We are required to determine the time taken to run the distance;

We know that power is the rate of work done

That is;

Power = work done : time

But, work done = Force * distance

Therefore;

Work done = 234 N * 30 m

= 7020 Joules

Therefore, from the formula, Power = work done : time

Time = Work done : power

Thus;

Time = 7020 J : 1100 W

= 6.38 seconds

Hence, the time taken is 6.38 seconds