Question
In which situation is the magnitude of the total force greater than the magnitude of each of the individual forces?(1 point)
Responses
Two people stand on the same side of a large box. One pushes, and the other pulls with the same amount of force.
Two people stand on the same side of a large box. One pushes, and the other pulls with the same amount of force.
Four people stand on each side of a large box. All four people push the box with the same amount of force.
Four people stand on each side of a large box. All four people push the box with the same amount of force.
Four people stand on each side of a large box. All four people pull the box with the same amount of force.
Four people stand on each side of a large box. All four people pull the box with the same amount of force.
Two people stand on opposite sides of a large box. One pushes, and the other pulls with the same amount of force.
The situation in which the magnitude of the total force is greater than the magnitude of each of the individual forces is:
"Two people stand on opposite sides of a large box. One pushes, and the other pulls with the same amount of force."
In this scenario, since the two individuals are on opposite sides of the box and are applying their forces in the same direction (one by pushing and one by pulling), the forces add together. If each person applies a force of magnitude F, the total force on the box will be 2F, which is greater than the individual forces applied by each person.
In the other three scenarios described, if everyone pushes or pulls with the same amount of force in the same direction (e.g., all on the same side of the box), the forces would cancel each other out or be equal to the force applied by a single person, and the total force would not be greater than the individual forces.
ok, but which option is correct:
Question
In which situation is the magnitude of the total force greater than the magnitude of each of the individual forces?(1 point)
Responses
Two people stand on the same side of a large box. One pushes, and the other pulls with the same amount of force.
Two people stand on the same side of a large box. One pushes, and the other pulls with the same amount of force.
Four people stand on each side of a large box. All four people push the box with the same amount of force.
Four people stand on each side of a large box. All four people push the box with the same amount of force.
Four people stand on each side of a large box. All four people pull the box with the same amount of force.
Four people stand on each side of a large box. All four people pull the box with the same amount of force.
Two people stand on opposite sides of a large box. One pushes, and the other pulls with the same amount of force.
The correct option is:
"Two people stand on opposite sides of a large box. One pushes, and the other pulls with the same amount of force."
In this situation, the forces applied by the two people add together because they are exerted in the same direction relative to the box—thereby increasing the magnitude of the total force on the box beyond that of either individual force.
The correct answer to the question is:
Two people stand on opposite sides of a large box. One pushes, and the other pulls with the same amount of force.
Explanation:
In this situation, the magnitude of the total force is greater than the magnitude of each of the individual forces. When one person pushes the box and another person pulls it with the same amount of force, their forces act in opposite directions. According to Newton's third law of motion, for every action, there is an equal and opposite reaction.
The person pushing exerts a force on the box with a certain magnitude, and the person pulling exerts an equal force but in the opposite direction. These two forces combine to create a resultant force that is the sum of the magnitudes of the individual forces. Since the forces are in opposite directions, their magnitudes add up, resulting in a greater overall force acting on the box.