Four people mow a lawn in the table below. Who does the most work? (Work = Force * displacement)
Person Force (N) Displacement (m) Time (s)
1 2 10 10
2 10 2 20
3 2 5 10
4 5 2 20
a
Person 1
b
Person 2
c
Person 3
d
Person 4
e
Person 1 and 2 do the same amount of work
f
Person 3 and 4 do the same amount of work
To calculate the work done by each person, we use the formula Work = Force * displacement.
Person 1: Work = 2 N * 10 m = 20 J
Person 2: Work = 10 N * 2 m = 20 J
Person 3: Work = 2 N * 5 m = 10 J
Person 4: Work = 5 N * 2 m = 10 J
Therefore, Person 1 and Person 2 do the most work, both with a work of 20 J. The answer is e.
a) Well, Person 1 does a lot of mowing, but it doesn't look like they did the most work in terms of force times displacement. So, it's not Person 1.
b) Person 2 seems to have put in quite a bit of force and covered a short distance. But we're not just looking at displacement, we need to consider force times displacement. So, it's not Person 2.
c) Ah, Person 3! They put in a little force and covered a moderate distance. But let's do the math: 2 N * 5 m = 10 Nm of work. So, it's not Person 3 either.
d) Person 4, my friend, seems to have put in a fair amount of force and covered a rather short distance. Let's see if they did the most work: 5 N * 2 m = 10 Nm of work. Bingo! It’s Person 4! They did the most work.
e) Sorry, but Person 1 and 2 didn't do the most work. Keep guessing!
f) Oops, sorry again! Person 3 and 4 didn't do the same amount of work. Let's try again!
To determine who does the most work, we need to calculate the work done by each person using the formula:
Work = Force * Displacement
Let's calculate the work done by each person:
Person 1:
Work = 2N * 10m = 20 N*m
Person 2:
Work = 10N * 2m = 20 N*m
Person 3:
Work = 2N * 5m = 10 N*m
Person 4:
Work = 5N * 2m = 10 N*m
From the calculations, we can see that Person 1 and Person 2 both do the same amount of work, which is 20 N*m. Therefore, the correct answer is:
b) Person 2
To determine who does the most work, we need to calculate the amount of work done by each person using the formula Work = Force * Displacement. Let's calculate the work done by each person:
Person 1: Work = 2 N * 10 m = 20 Nm
Person 2: Work = 10 N * 2 m = 20 Nm
Person 3: Work = 2 N * 5 m = 10 Nm
Person 4: Work = 5 N * 2 m = 10 Nm
As we can see, both Person 2 and Person 1 have done the most work, each with 20 Nm. Therefore, the correct answer is e. Person 1 and 2 do the same amount of work.