An archer puts a 0.34 kg arrow to the bowstring. An average force of 220 N is exerted to draw the string back 1.3 m. Assume that air resistance is negligible. If the arrow is shot straight up, how high does it rise?

I am confused at how to find the distance that it will rise.

3 answers

The work done drawing the bow is
W = (average force)*(distance pulled)
= 286 Joules

Set that equal to the potential energy gained at highest altitude, H

M g H = 286 J

H = 286/(0.34*9.8) = ____?

Note that kinetic energy does not enter into the equation at highest altitude because the arrow is temporarily motionless there.
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dunno