Chapter 7, Problem 74GP

A Compound Versus a Simple Bow The compound bow in the previous problem requires 152 J of work to draw the string back to

x = 0.540 m

, at which point the archer need only exert 250 N of force to hold the string in place. (a) Suppose a simple bow is used instead of a compound bow. What should its force constant k (in N/m) be so that it requires the same amount of work to draw the string a distance of

x = 0.540 m

? Assume the simple bow behaves the same as an ideal spring. (b) How much force must the archer exert to draw the simple bow to

x = 0.540 m

? Compare this to the 250-N force required by the compound bow.