Bow and Arrow Figure 638 shows bow die force exerted by the

Bow and Arrow. Figure 638 shows bow die force exerted by the string of a compound bow on an arrow varies as a function of how far back the arrow is pulled (the draw length). Assume that the same force is exerted on the arrow us it moves forward after being released. Full draw for this bow is at a draw length of 75.0 cm. If the bow shoots a 0.0250 kg arrow from full draw, what is the speed of the arrow as it leaves the bow?

Solution

Work done by arrow = area of the curve

W= 240.92

mv²/2 = 240.92

v² = 2*240.92/0.0250

v² = 19273.6

v = 138.82 m/s