Solve.
-Two forces of 630 and 470 N (newtons) act on an object. The angle between the forces is 54°. Find the magnitude of the resultant and the angle that it makes with the larger force.
A) 984 N, 23°
B) 8 N, 23°
C) 983 N, 23°
D) 982 N, 23°

Question

Quizplus · Accepted Answer

The magnitude of the resultant force can be found using the law of cosines: R = √(630² + 470² + 2*630*470*cos(54°)) ≈ 983 N. The angle with the larger force can be found using the law of sines or vector components, resulting in approximately 23°.

Solve. -Two Forces of 630 and 470 N (Newtons) Act on on an Object