question # 1 :Estimate the work you do to mow a lawn 13m by 23m with a 60cm wide mower. Assume you push with a force of about 15 N
nvm i got the answer it is 7500 J
F=15 N
s =(23•13/0.6) m
W =F•s =7475 J
To estimate the work you do to mow a lawn, we can use the formula:
Work = Force x Distance x Cosine(theta)
Where:
- Force is the amount of force you exert pushing the mower (15 N)
- Distance is the total distance you need to mow (perimeter of the lawn)
- Cosine(theta) is the angle formed between the force and the direction of the lawn (usually 0 degrees since you push forward)
First, let's calculate the total distance:
Perimeter = 2(length + width)
Perimeter = 2(13m + 23m)
Perimeter = 2(36m)
Perimeter = 72m
Now, let's calculate the work:
Work = 15 N x 72m x Cosine(0)
Work = 15 N x 72m x 1 (since the cosine of 0 degrees is 1)
Work = 1080 Joules
Therefore, you would need to do approximately 1080 Joules of work to mow the lawn.
To estimate the work required to mow a lawn, you first need to understand the formula for work:
Work (W) = Force (F) × Distance (d) × cos(theta)
In this case, the force (F) you apply is 15 N, and the distance (d) you need to cover is the length of the lawn, which is 23 meters.
However, to find the work, we also need to determine the angle (theta) between the force you apply and the direction of motion. Since you are pushing the mower directly forward, the angle between the force and the direction of motion is 0 degrees (cos(0) = 1).
Now let's calculate the work:
W = F × d × cos(theta)
W = 15 N × 23 m × cos(0)
W = 345 N·m
Therefore, the estimated work required to mow the lawn is 345 Newton-meters (N·m).