Final answer:
The woman takes 7 minutes to complete the 1000m race using a force of 210N and a power output of 500W.
Step-by-step explanation:
To calculate the time taken by the woman to complete the 1000m race, we need to consider her power output. Power is defined as the rate at which work is done or energy is transferred. The formula to calculate power is:
Power = Work / Time
Given that the power output is 500W and the force is 210N, we can calculate the work done using the formula:
Work = Force x Distance
Substituting the given values into the equations, we can calculate the work as:
Work = 210N x 1000m = 210,000 J (Joules)
Now, we can rearrange the equation for power to solve for time:
Time = Work / Power
Substituting the values of work and power, we get:
Time = 210,000 J / 500W = 420 seconds = 7 minutes