Question

Two forces of 418 N. And 590 N. Act on an object the angle between the forces is 48° find the magnitude of the resultant and the angle that it makes with the larger force

Answer 1

Magnitude of the resultant force (Rf) = 923.5 N (Approx)

Explanation:

Given:

Force f1 = 418 N

Force f2 = 590 N

Angle between the forces = 48°

Find:

Magnitude of the resultant force (Rf)

Computation:

`Rf = √(f1^2+f2^2+2f1f2cos\theta) \\\\ Rf = √(418^2+590^2+2(418)(590)cos(48))\\\ Rf = √(174,724+348,100+330,041.98) \\\\ Rf = √(852,865.98)\\\\ Rf = 923.5`

Magnitude of the resultant force (Rf) = 923.5 N (Approx)