Hi I am solving a problem at work right now and in order to do so I had to dust off my old physics book. But I've come across something which once made sense but I don't understand it now. If you have a force, say 100lbs, acting at an angle, say 45 degrees, and break it up into its components why don't the components add up to 100 lbs? Both horizontal and vertical components end up around 70lbs. So the sum of the forces acting upon the object being pushed against is approximately 140 lbs? Where does the extra force come from? Shouldn't the sum of the components equal the initial force?