Two forces, F1, of magnitude 60 newtons (N) and F2 of magnitude 70 newtons, act on an object at angles of 40 degrees and 130 degrees (respectively) with the positive x-axis. Find the direction and magnitude of the resultant force, that is, find F1+F2. Round the direction and magnitude to two decimal places.
How do I do this? This is the only problem on my precalc study guide that I do not get. Please help!|||They make a 90潞 angle (130 - 40) with each other which makes the magnitude just be the hypotenuse of a right triangle with legs 60 and 70 so use Pythagorean (or cosine law if you must)
r = 鈭?60虏 + 70虏) 鈮?92.20 N
Now use that to get the angle. Find the angle n between the 60 and this resultant by SOH CAH TOA (or sine law if you must)
cos n = 60/92.20
inverse cos says that n 鈮?49.40 潞 so add that to 40潞
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