Question

Two concurrent forces of 6 newtons and 12 newtons could produce the same effect as a single force of?

Answer 1

18 N

Step-by-step explanation:

One force, F1 = 6 N

Other force, f2 = 12 N

As we know that force is a vector quantity and they are added by using the laws of vectors.

If there are two vectors having magnitudes A and B respectively and they inclined at an angle θ, then their resultant is given by

`R=\sqrt{A^(2)+B^(2)+2ABCos\theta }`

So, when the two concurrent forces acting then the angle beteen the two forces is 0°.

R = A + B

So, here, the resultant force is

R = F1 + F2 = 6 + 12 = 18 N

Answer 2

If the forces are acting in exactly opposite directions, they will subtract, and the magnitude of the resultant force is 6 N. This is the minimum resultant force, so that rules out (1). Similarly, if they act in exactly the same direction, they will add, and the resultant force is 18 N. This will be the maximum resultant force. That rules out (3) and (4). Thus, at some angle (between 0 and 180 degrees), you COULD find a resultant force of 15 N.