1. The problem statement, all variables and given/known data An archer pulls a bowstring back 0.440 m, and the spring constant of the bow is 545 N/m. Find the amount of work the archer did to draw the bow. 2. Relevant equations F = ma Ei = Ef 3. The attempt at a solution It seems as though there are two ways of doing this: using Newton's laws or using conservation of energy. a) Newton's laws: W = Fd F = -kx = 240 N d = 0.440 m W = Fd = 106 J b) Conservation of energy Ei = Ef Wapply = Ufinal Wapply = (1/2)kx2 = 53 J As one can see, these are two different answers. In fact, the latter is exactly half of the former. What am I doing wrong? Is either answer even right?