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.