Hop height of a rod and speed/ time if hit upward with force f

[MIKES279]

Homework Statement

Ok if I hit a steel rod with a mass of m with a force of f how high will it jump up. how fast will it go? This is one hit like a hammer hitting a rod or ball in the air. If there is a computer program that will do this math that would be better.

Relevant Equations

I don't know it

I want to make a few of these if it will not cost a lot.

 

[mfb]

Force is not the right unit to look at. You can model the collision as approximately elastic collision of rod and hammer, the final velocity of the rod will depend on the mass and initial velocity of the hammer.

The force during the collision will change over time and depend on material properties of rod and hammer you don't want to deal with.