Question on kinetic energy transferred by a bow

[eosphorus]

i tense a bow holding the string with a dinamometer till it shows a force of 100 kg or 1000 N to be more correct

at what speed would be released a 1 kg arrow and a 2 kg arrow?

 

[FredGarvin]

I would think you'd need some kind of spring constant for the bow (assuming it is constant over it's entire range of travel) and the distance the bow is exteded so you could calculate the potential energy in the bow in the extended position. You are given a hint at the PE by being given the force required to pull the bow, but that gives you F= kx, not kx² which you need for the PE. At that point you could equate it to kinetic energy transferred to the arrow and then solve for the speeds.