Two forces F1=20N and F2=30N are acting on an object so, 1) find the net force acting on an object - Science - Force and Laws of Motion

Question

Two forces F1=20N and F2=30N are acting on an object so, 1) find
the net force acting on an object 2) state the direction of the net
force acting on the object? 3) if the body does not none under the
application of these forces and what can be the possible reason for
this Identify the and its direction

Ravi Gupta · Accepted Answer

Let f1 and f2 are at the angle of θthen net force is given by:f = f12+f22+2f1f2cosθhere θ is not given , so using the above equation we can find the net frc when θ is given(2) direction of net force , making an angle ϕ with f1,tanϕ = f2 sinθf1+f2cosθ(3) when object is not under the effect if these  two forces that means , net force acting on the object is zero
f = f12+f22+2f1f2cosθ = 0f12+f22+2f1f2cosθ = 0400+900 +1200cosθ=0cosθ = -1213θ = cos-1-1213