A compound bow in archery allows the user to hold the browsing at full draw with

Question

A compound bow in archery allows the user to hold the browsing at full draw with considerably less force than this maximum force exerted by the string. The draw force as a function of the string position x for a particular compound how is shown in (Figure 1). How much work does the archer do on the bow in order to draw the string form x = 0 to x = 0.60 m? Express your answer to three significant figures and include appropriate units. if all of this work becomes the kinetic energy of a 0.055-kg arrow, what is the speed of the arrow? Express your answer to two significant figures and include appropriate units.

Explanation / Answer

A)

Work done

W = area under F and x graph

W = 162.5 J

B)

Work done = chnge in kinetic energy

162.5 = 0.5 m V^2

V = 70.71 m/s

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