Two teams are playing tug of war. The tables show the members of each team and how much pulling force each team member applies to the rope.

Team A

Members

Pulling Force

(N)

Darlene 360
Eric 400
Keshawn 450
Team B

Members

Pulling Force

(N)

Anita 350
Frank 390
Molly 490
If Team A pulls to the right and Team B pulls to the left, what is the total horizontal net force applied to the rope?

(1 point)
Responses

40 N to the right
40 N to the right

20 N to the right
20 N to the right

40 N to the left
40 N to the left

20 N to the left
20 N to the left

1 answer

To find the total horizontal net force applied to the rope, we need to calculate the total pulling force for each team and then find the difference.

Team A's total pulling force:

  • Darlene: 360 N
  • Eric: 400 N
  • Keshawn: 450 N

Total for Team A = 360 N + 400 N + 450 N = 1210 N

Team B's total pulling force:

  • Anita: 350 N
  • Frank: 390 N
  • Molly: 490 N

Total for Team B = 350 N + 390 N + 490 N = 1230 N

Now, let's calculate the net force:

Net Force = Team A's total force - Team B's total force Net Force = 1210 N (to the right) - 1230 N (to the left)

Since Team B is greater, we have:

Net Force = 1210 N - 1230 N = -20 N

The negative sign indicates that the net force is directed towards Team B, which is to the left.

Therefore, the total horizontal net force applied to the rope is:

20 N to the left.