Question

If two forces of 3N and 4N are acting on a body at 90° with each other, the magnitude of resultant force will be :​

Answer 1

Answer:

Here, we need to calculate the net force which is applied at a point in a particular direction. The net force is calculated by adding all the squares of the given forces together and then taking their root. Here, we have been given three forces 3N, 4N and 12N.

Fnet=F21+F22+F23−−−−−−−−−−−−√ ;

Now, put in the given value in the above relation:

Fnet=32+42+122−−−−−−−−−−−√;

Do the square of the digits and then take their root:

⇒Fnet=169−−−√;

The final value of the net applicable force is:

⇒Fnet=13N

Option B is the correct option. Therefore, if forces 3N,4N and 12N act at a point in mutually perpendicular directions then the magnitude of the resultant force would be 13N.

Note: The magnitude of a vector is also known as the length of the vector. Essentially a vector has both direction and magnitude and when we take its magnitude the direction doesn’t play a role and the calculated magnitude gives its length only.