Question

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

Answer 1

6.38 seconds

Step-by-step 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