Suppose 25 children who weigh the same are playing a game of tug-of-war. Five children pull with 10 newtons of force, while ten children pull with 15 newtons of force in the opposite direction. How can one determine the net force on the rope?(1 point)

Question

Responses

The forces are in opposite directions, so the newtons can be divided.
The forces are in opposite directions, so the newtons can be divided.

The forces are in the same direction, so the newtons can be added.
The forces are in the same direction, so the newtons can be added.

The forces are in opposite directions, so the newtons can be subtracted.
The forces are in opposite directions, so the newtons can be subtracted.

The newtons are in the same direction, so the newtons can be multiplied.

Answer 1

To determine the net force on the rope in the tug-of-war scenario, we need to consider that the forces are acting in opposite directions. Therefore, we should subtract the total force exerted by one group from the total force exerted by the other group.

1. Calculate the force exerted by the children pulling with 10 newtons:

   • 5 children × 10 newtons = 50 newtons

2. Calculate the force exerted by the children pulling with 15 newtons:

   • 10 children × 15 newtons = 150 newtons

3. Determine the net force:

   • Since one group pulls in one direction and the other group pulls in the opposite direction:
   • Net force = Force in one direction - Force in the opposite direction
   • Net force = 150 newtons (one direction) - 50 newtons (opposite direction) = 100 newtons in the direction of the larger force.

So, the correct response is:

The forces are in opposite directions, so the newtons can be subtracted.