Question

Two forces, each of magnitude F have a resultant of the same magnitude F. The angle between the two forces is
a. 45°
b. 120°
c. 150°
d. 60°

*please Explain*​

Answer 1

Answer: 120° IS THE ANSWER.

Explanation:

RESULTANT FORCE=$\sqrt{F_{1}^{2}+F_{2}^{2}+2F_{1}F_{2}cos\alpha }$

where α=ANGLE BETWEEN TWO FORCES

==>F=$\sqrt{F^{2}+F^{2}+2F^{2}cos\alpha }$==>F²=2F²+2F²cosα

==>cosα=-1/2

==>α=120°

HOPE IT WILL HELP YOU...........

THANK YOU.