forces with a magnitude of 125 newtons and 300 newtons act on an object. the angle between the two forces is 45 degrees. find the direction and magnitude of the resultant forces?
Use a coordinate system. Let 300 N= 0degrees(x-axis) and let 125 N= 45degrees. Then sum component vectors: 300cos(0)+125cos(45)=x, and 300sin(0)+125sin(45)=y. magnitude is with pythagorean formula and direction is the angle that results from arctan(y/x).
… magnitude comes out about 229.33 N, and the angle is about 12.82 degrees from force: 300N