An archer pulls a bowstring back 0.390 m, and the spring constant of the bow is 675 N/m.

Question

a.) Find the amount of work the archer did to draw the bow.
b.) Find the speed an arrow of mass 0.075 kg will have when it is shot from the bow.
Assume no losses from friction.

Answer 1

work in = increase in potential energy = (1/2) k x^2

that becomes kinetic energy of the arrow
= (1/2) m v^2