A compound bow in archery allows the user to hold the bowstring at full draw with considerably less force than the maximum force exerted by the string. The draw force as a function of the string position x for a particular compound bow is shown in FIGURE 7-26.

(a) How much work does the archer do on the bow in order to draw the string from x = 0 to x = 0.60 m?

(b) If all of this work becomes the kinetic energy of a 0.065-kg arrow, what is the speed of the arrow?

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400 350 300 250 200 150 100 50 0.1 0.2 0.3 0.4 0.5 0.6 0.7 String position, x (m) Force, F (N)