Question

The resultant of two forces has magnitude 20 N. One of
the forces is of magnitude 20 V3 N and makes an angle
of 30° with the resultant. Then what is the magnitude of
the other force?​

Answer 1

Answer:

2/3 N

Step-by-step explanation:

F (resultant)= 20N

F1=20√3 N

F2=?

theta = 30

F= F1 x F2 x COS(theta)

20= 20√3 x F2 x COS(30)

20/20=√3 x F2 x √3/2

1 = √3x√3/2 x F2

1 = 3/2 x F2

1 x 2/3 = F2

F2 = 2/3 N