Two forces of 5n and 7N respectively act on an object. (A)when will the resultant of the two vectors be at a maximum? (B)when will the resultant of the two vectors be at a minimum? (C)when are the maximum and minimum resultantof the two forces?

A.when the two forces act in the same direction B.when two forces act in the opposite directions to one another

Oh come on. If you and your friend are trying to push a car do you both push in the same direction or does one push north and the other push south?

One pushes north the other south

the will be no resultant

Resultant vector

When will the resultant of the two vectors be at miximum

To answer these questions, we need to understand the concept of vector addition. When two forces act on an object, their combined effect is the vector sum of the two forces, known as the resultant.

(A) To find when the resultant of the two vectors will be at a maximum, we need to determine the direction in which the two forces combine to produce the largest possible magnitude for the resultant.

The maximum resultant occurs when the two forces are acting in the same direction. In this case, the 7N force should be in the same direction as the 5N force. Therefore, the resultant will be at a maximum when the two forces are in the same direction.

(B) To find when the resultant of the two vectors will be at a minimum, we need to determine the direction in which the two forces combine to produce the smallest possible magnitude for the resultant.

The minimum resultant occurs when the two forces are acting in opposite directions. In this case, the 7N force should be in the opposite direction to the 5N force. Therefore, the resultant will be at a minimum when the two forces are in opposite directions.

(C) The maximum and minimum resultants of the two forces occur at the extremes of their relative directions. In other words, the maximum resultant occurs when the forces are in the same direction, and the minimum resultant occurs when the forces are in opposite directions.

Therefore, the maximum resultant occurs when the 7N force is in the same direction as the 5N force, and the minimum resultant occurs when the 7N force is in the opposite direction to the 5N force.