Question

Of the two components of a force which are perpendicular toeach other, the magnitude of one component is 10 N and itsubtends an angle of 60° with the force. The magnitude ofthe force is, approximately,​

Answer 1

The magnitude of the force is 20 N.

Step-by-step explanation:

The magnitude of the force can be found using trigonometry and the given information. We can use the fact that the two components of the force are perpendicular to each other. One component has a magnitude of 10 N and it subtends an angle of 60° with the force. Let's call the other component x. Using the trigonometric relationship between the sides of a right triangle, we can set up the equation:

cos 60° = x / magnitude of the force

Simplifying this equation gives us:

x = (magnitude of the force)(cos 60°)

Substituting the given value for x (10 N) and solving for the magnitude of the force:

10 N = (magnitude of the force)(0.5)

Magnitude of the force = 20 N