Question

Two forces are such that the sum of their magnitudes is 18 N and their resultant which has magnitude 12 N, is perpendicular to the smaller force. Then, the magnitudes of the forces are

(a) 12 N,6 N

(b) 13 N,5 N

(c) 10 N,8 N

(d) 16 N, 2N

Answer 1

Correct option (b) 13 N,5 N
Explanation:
The sum of the two forces

A + B = 18     ....(i)

Solving   B - A = 8

B + A = 18

We have, B = 13 N, A = 5 N