The resultant of two forces acting at an angle of 120° is 10 kg wt and is perpendicular to one of the forces . That force is .......

Question

The resultant of two forces acting at an angle of 120° is 10 kg wt and is perpendicular to one of the forces . That force is ....... (A) 10√3 kg wt (B) 20√3 kg wt (C) 10 kg wt (D)  (10 /√3) kg wt

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/cc62205b2684409096004e96d38cd030-.png" /> Here, tan 30°=(1/√3) (1/√3)=(x/10) x=(10/√3), kg - wt

Q. The resultant of two forces acting at an angle of $12 0^{\circ}$ is $10 k g$ wt and is perpendicular to one of the forces . That force is .......

$103 k g wt$

$203 k g wt$

$10 k g wt$

$\frac{10}{3} k g wt$

Here, $tan 3 0^{\circ} = \frac{1}{3}$
$\frac{1}{3} = \frac{x}{10}$
$x = \frac{10}{3}, k g - wt$

Q. The resultant of two forces acting at an angle of 120∘ is 10kg wt and is perpendicular to one of the forces . That force is .......

103​kgwt

203​kgwt

10kgwt

3​10​kgwt