Question

The resultant of two equal force is 141.4 n when they are mutually perpendicular. When they are inclined at an angle of 120°, then the resultant force will be

Answer 1

When angle is 90° F_net = F√2
141.4 = F√2
F = 141.4/√2
F = 100 N

Each force is 100 N

When angle is 120° F_net = F

Resultant force will be 100N

Answer 2

The resultant force for the given is 100 N.

Given:

That the two equal forces are 141.4N=Fx and they are mutually perpendicular.

Angle of incidence=120^{\circ}

To find:

We have to find the resultant force F

Solution:

Consider that When the angle is 90° then

By substituting the values we get

$F x=F \sqrt{2}$

To find F let us shift the $\sqrt{2}$ to the denominator

We get,

$141.4=F \sqrt{2}$

$F=\frac{141.4}{\sqrt{2}}$

F = 100 N  

so, now each force is 100 N

when angle is 120°,

F x=F

Hence the Resultant force will be 100 N.