cheska_P one year ago Hi, do you know how to solve this : Three forces act on a point: 4N at 0 degrees, 5N at 90 degrees, and 8N at 45 degrees. What is the net force acting on that point?

1. zephyr141

first thing you should always do is draw a Full Body Diagram of this system of forces.|dw:1444025549427:dw|

2. zephyr141

now add up all the forces in the y direction and all the forces in the x direction.

3. zephyr141

$x:4+8\cos 45$$y:5+8\sin 45$ then use Pythagorean's Theorem to find the net force. $f_{net}=\sqrt{x^2+y^2}$

and the angle $$\theta = \tan^{-1} \left(\frac y x \right)$$