Answer:
smaller force is 20
Explanation:
Let, magnitude of the smaller force be F Newton.
Now, the resultant force makes an angle 90° with the smaller force. So, angle between resultant force and the larger force = (120° - 90°) = 30°.
So, tan 30° = (F * sin 120°) / (40 + F * cos 120°)
(1 / √3) = {F * (√3) / 2} / {40 + F * (- 1 / 2)}
80 - F = 3F
4F = 80
F = 20.
So, magnitude of smaller force is 20 Newtons.
