Two vectors 10N and 20N are inclined at 60degrees to each other find the resultant force

Answer 1

To find the resultant force, we can use the law of cosines.

Letting the vectors be A = 10N and B = 20N, and the angle between them be 60 degrees, we have:

Resultant force^2 = A^2 + B^2 - 2AB * cos(angle)
Resultant force^2 = (10N)^2 + (20N)^2 - 2(10N)(20N) * cos(60 degrees)

Calculating this expression gives us:

Resultant force^2 = 100N^2 + 400N^2 - 2(10N)(20N) * 0.5
Resultant force^2 = 100N^2 + 400N^2 - 200N^2
Resultant force^2 = 300N^2

Taking the square root of both sides gives us the magnitude of the resultant force:

Resultant force = sqrt(300N^2) = 17.32N

Therefore, the magnitude of the resultant force is approximately 17.32N.