# Resultant Force of Two Forces Acting at an Angle

## What is the resultant of two forces of 100 N and 150 N acting at a 45° angle?

a) 176.78 N at 45°

b) 250 N at 45°

c) 111.8 N at 45°

d) 200 N at 45°

## Final answer:

The resultant force of two forces of 100N and 150N acting at a 45° angle to each other is approximately 176.78 N at a 45° angle.

**Explanation:** The concept of resultant force of two forces is an important aspect in physics, specifically in mechanics. When dealing with simultaneous forces acting at a point, the resultant force can be determined through vector addition principles. In this scenario, we have forces of 100N and 150N with an angle of 45° between them.

To calculate the resultant force, we can use the formula: R = sqrt[(F1)^2 + (F2)^2 + 2*F1*F2*cos(theta)], where F1 and F2 are the magnitudes of the forces and theta is the angle between them. By substituting the values of the forces and the angle into the formula, we find that the resultant force is approximately 176.78 N at a 45° angle.

Therefore, the correct answer to the question is option a) 176.78 N at 45°. This calculation showcases the application of vector addition in determining the resultant force of multiple forces.