Solve Applied Problems Involving Vectors
-One rope pulls a barge directly east with a force of 82 newtons, and another rope pulls the barge directly north with a force of 70 newtons. Find the magnitude of the resultant force acting on the barge.
A) 108 newtons
B) 152 newtons
C) 5740 newtons
D) 12 newtons

Question

Quizplus · Accepted Answer

The magnitude of the resultant force can be found using the Pythagorean theorem since the forces act at a right angle to each other: $\sqrt{82^2 + 70^2} \approx 108$ newtons.