Solve.
-Two forces of 24 and 14 N (newtons) act on an object. The angle between the forces is 36°. Find the magnitude of the resultant and the angle that it makes with the larger force.
A) 3 N, 13°
B) 37 N, 13°
C) 35 N, 18°
D) 36 N, 13°

Question

Quizplus · Accepted Answer

The magnitude of the resultant force can be found using the law of cosines: R = √(24² + 14² + 2*24*14*cos(36°)) ≈ 36 N. The angle with the larger force can be found using the law of sines or vector components, resulting in approximately 13°.

Solve. -Two Forces of 24 and 14 N (Newtons) Act on on an Object