TWO FORCES OF 5N AND 7N RESPECTIVELY ACT ON AN OBJECT.WHEN WILL THE RESULTANT OF THE TWO VECTORS BE AT A MAXIMUM?
I bet when they are in the same direction.
To find when the resultant of the two vectors will be at a maximum, we need to understand the concept of vector addition. When two vectors act on an object, their resultant can be found by adding them together. The magnitude and direction of the resultant depend on the magnitudes and directions of the individual vectors.
In this case, we have two forces acting on an object - a 5N force and a 7N force. The maximum resultant will occur when the two forces are acting in the same direction, creating an additive effect. If the two forces have the same direction, their magnitudes can be simply added:
Maximum Resultant = 5N + 7N = 12N
So, the maximum resultant occurs when the two vectors are acting in the same direction and has a magnitude of 12N.
However, if the two forces act in opposite directions, the resultant will be the difference between their magnitudes. In this case, the resultant will be:
Resultant = |5N - 7N| = |-2N| = 2N
Therefore, the minimum resultant occurs when the two vectors act in opposite directions and has a magnitude of 2N.
In summary, the resultant of two forces of 5N and 7N will be at a maximum when the forces act in the same direction, resulting in a magnitude of 12N.