An 88 g arrow is fired from a bow whose string exerts an average force of 125 N on the arrow over a distance of 74 cm.
What is the speed of the arrow as it leaves the bow?
v = ________ m/s
1 Answer

W = Fd = K + U, in this case U = 0 as the arrow doesn’t have any potential energy in the direction of flight as it leaves the bow
W = Fd = K = 0.5mv^2
v = sqrt(Fd/(0.5m))
=sqrt(125N*0.74m/(0.5*0.088kg))
= 45.85 m/s