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

AI Thread Summary
The discussion focuses on the dynamics of a rod's motion when struck upward with a force. It emphasizes that force is not the appropriate metric for analyzing the situation. Instead, modeling the interaction as an elastic collision between the rod and hammer is suggested. The final velocity of the rod will be influenced by the mass and initial velocity of the hammer. Additionally, the force during the collision varies over time and is affected by the material properties of both the rod and hammer.
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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.
 
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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.
 

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