Estimate the work you do to mow a lawn 14m by 23m with a 0.5m-wide mower. Assume you push with a force of about 15N.
To estimate the work done to mow the lawn, we can use the formula:
Work = Force x Distance
First, we need to calculate the total distance covered while mowing. Since the lawn is 14m by 23m, we can find the perimeter of the lawn to get the total distance:
Perimeter = 2(Length + Width)
Perimeter = 2(14m + 23m)
Perimeter = 2(37m)
Perimeter = 74m
However, we need to take into account the width of the mower. Since the mower has a width of 0.5m, we should subtract this width from the total distance to get the effective distance covered:
Effective Distance = Perimeter - Mower Width
Effective Distance = 74m - 0.5m
Effective Distance = 73.5m
Now that we have the effective distance, we can calculate the work done:
Work = Force x Effective Distance
Work = 15N x 73.5m
Work = 1,102.5 Joules
Therefore, the estimated work done to mow the lawn is approximately 1,102.5 Joules.