A force with a magnitude of 1055 pounds and another with a magnitude of 435 pounds are acting on an object. The two forces have an angle of 81 degrees between them. What is the magnitude of the resultant force? Round to the nearest pound.
A) 1202 pounds
B) 1445833 pounds
C) 1076 pounds
D) -inf pounds

Question

Quizplus · Accepted Answer

The magnitude of the resultant force can be found using the formula for the resultant of two forces at an angle: $R = \sqrt{F_1^2 + F_2^2 + 2F_1F_2\cos(\theta)}$, where $F_1$ and $F_2$ are the magnitudes of the two forces and $\theta$ is the angle between them. Plugging in the given values, $R = \sqrt{1055^2 + 435^2 + 2(1055)(435)\cos(81^\circ)}$, which rounds to approximately 1202 pounds.

A Force with a Magnitude of 1055 Pounds and Another