compound bow requires 152 J of work to draw string back to z 0540 m, at which po
ID: 1599883 • Letter: C
Question
compound bow requires 152 J of work to draw string back to z 0540 m, at which point the archer need only exert2so N offorce to hold thestingin place. Part A Suppose a simple bow is used instead of a compound bow What should ts force constant k 0n N/m) be so that it requires the same amount of work to drawthe saring a distance of a he same as an ideal spring. Express your answer to three significant figures and include appropriate units. Value Units My Answers Part B How much force must tearoher exert to draw the simple bow to r 0540 m? Express your answer to three signifoant figures and include appropriate units. Value Units Compare to the 290N foroe required by the compound bow The force to draw the simple bow equal to the forue required to hold the compound bow sting The force to draw the simple bowismuch iarger than the foroe required to hold he compound bow The fore to draw the umple bow is much smaller than the faroe required to hold the compound bow ingExplanation / Answer
a)
k = spring constant
W = work done = 152 J
x = 0.540 m
using the formula
W = (0.5) kx2
152 = (0.5) k (0.540)2
k = 1042.52 N/m
b)
Force applied = spring force
F = k x
F = 1042.52 x 0.540 = 563 N
c)
the force to draw the simple bow is much larger
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