Solve.
-Two forces of 75 and 30 N (newtons) act on an object at right angles. Find the magnitude of the resultant and the angle that it makes with the larger force.
A) 81 N, 22°
B) 81 N, 68°
C) 6525 N, 22°
D) 81 N, 17°

Question

Quizplus · Accepted Answer

The magnitude of the resultant force can be found using the Pythagorean theorem since the forces act at right angles: $\sqrt{75^2 + 30^2} = 81 N$. The angle $\theta$ with the larger force (75 N) can be found using $\tan(\theta) = \frac{30}{75}$, which gives $\theta \approx 22°$.

Solve. -Two Forces of 75 and 30 N (Newtons) Act on on an Object