In which situation is the magnitude of the total force greater than the magnitude of each of the individual forces? (1 point) 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 opposite sides 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. 0 Four people stand on each side of a large box. All four people pull the box 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: Four people stand on each side of a large box. All four people push the box with the same amount of force.
The situation in which the magnitude of the total force is greater than the magnitude of each individual force is when four people stand on each side of a large box and all four people push the box with the same amount of force.
To determine in which situation the magnitude of the total force is greater than the magnitude of each of the individual forces, we need to consider the concept of vector addition.
1. Two people stand on the same side of a large box. One pushes, and the other pulls with the same amount of force.
In this scenario, the forces are exerted in the same direction. To find the magnitude of the total force, you simply add the magnitudes of the individual forces. Since they have the same magnitude, the total force will be twice the magnitude of each individual force. Hence, the total force is greater than the magnitude of each individual force.
2. Two people stand on opposite sides of a large box. One pushes, and the other pulls with the same amount of force.
In this case, the forces are exerted in opposite directions. To find the magnitude of the total force, you subtract the magnitudes of the individual forces. However, since the magnitudes are the same, the total force will be zero, as the forces cancel each other out. Therefore, the magnitude of the total force is not greater than the magnitude of each individual force.
3. Four people stand on each side of a large box. All four people push the box with the same amount of force.
Similar to the first situation, the forces are exerted in the same direction. By adding the magnitudes of the individual forces, the total force will be four times the magnitude of each individual force. Thus, the magnitude of the total force is greater than the magnitude of each individual force.
4. Four people stand on each side of a large box. All four people pull the box with the same amount of force.
In this circumstance, the forces are exerted in opposite directions. Again, subtracting the magnitudes of the individual forces results in a total force of zero since the magnitudes are the same. Therefore, the magnitude of the total force is not greater than the magnitude of each individual force.
Hence, the situation in which the magnitude of the total force is greater than the magnitude of each of the individual forces is when two people stand on the same side of a large box, with one pushing and the other pulling with the same amount of force.