Question

how to do this question?​

Answer 1

Answer:

Let the magnitude of smaller force is P, the magnitude of larger force is Q and the resultant force is R.

As the resultant force makes 90∘ with the smaller force P then Q forms the hypotenuse of the triangle.

Thus, it can be written as,

Q² − P² = R²

Q² − P² = (12)²

Q² − P² = 144 Equation 1

The sum of magnitudes of two forces is given as,

P + Q = 18

Q = 18 − P Equation 2

Substituting the value from equation (2) in equation (1), we get

(18−P)² − P²= 144

P = 5N

Substituting the value of P in equation (1), we get

Q = 18 − 5

=13N

Thus, the magnitude of the forces are 5N and 13N.

I understood the concept from toppr and then instead of writing, I copied from them so as to prevent my fingers from paining.