JEE Main 2002 Physics question

Physics Motion in a Plane JEE Main 2002

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

(1)12 N, 6 N
(2)13 N, 5 NCorrect
(3)10 N, 8 N
(4)16 N, 2 N

Answer: (2)

Solution

Let the smaller force be and the larger be , so . Since the resultant N is perpendicular to , the vectors , and form a right triangle with as the hypotenuse: . Factorising, $(Q-P)(Q+P) = 144 ⇒

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Question ID VK-037836