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.
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