two forces of 5N and 7N respectively act on an object. When will the resultant of the two vectors be at the maximum?
when they are in the same direction
it shall be at 12N
To determine when the resultant of two forces is at its maximum, we need to consider the concept of vector addition.
When two forces act on an object, their resultant can be calculated by adding the vectors together. The magnitude and direction of the resultant depend on the angle between the forces and their individual magnitudes.
In this case, we have two forces: 5N and 7N. To find the maximum resultant, we can consider the extreme cases where the forces are aligned in the same direction or in opposite directions.
1. When the forces are aligned in the same direction:
In this scenario, the forces are additive, and the resultant force will be their sum. The magnitude of the resultant force will be:
Resultant force = 5N + 7N = 12N
2. When the forces are aligned in opposite directions:
In this case, the forces are subtractive, and the resultant force will be their difference. The magnitude of the resultant force will be:
Resultant force = 7N - 5N = 2N
Therefore, the maximum resultant force will occur when the two forces are aligned in the same direction, resulting in a magnitude of 12N.
To summarize, the maximum resultant force of the two forces of 5N and 7N will occur when the forces are aligned in the same direction and will have a magnitude of 12N.