Does an object stop dead after it is dropped and hits the floor?

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The discussion centers on the dynamics of a capped water bottle when dropped. It establishes that the force with which the bottle falls over after hitting the ground is influenced by its initial angular speed. If the bottle lands perfectly balanced, its final angular speed remains the same as its initial speed. However, if it lands unbalanced, conservation of angular momentum results in a greater final angular speed. Additionally, the presence of water in the bottle affects its moment of inertia and angular speed upon impact.

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goomer
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Say you have a capped water bottle and you drop it so the cap hits the ground and then the bottle falls over. Would the force with which the bottle FALLS OVER (not when the cap hits the ground) and hits the ground be the same as if you balanced the bottle on its cap on the floor and then pushed it so it falls and hits the floor?
 
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hi goomer! :smile:
goomer said:
Would the force with which the bottle FALLS OVER (not when the cap hits the ground) and hits the ground be the same as if you balanced the bottle on its cap on the floor and then pushed it so it falls and hits the floor?

things don't fall with force, they fall with speed (or angular speed)

if the bottle lands perfectly balanced, and then falls over simply because it's unstable (ie for the same reason it would fall over if you carefully placed it there), then the initial angular speed would be zero, and yes the final angular speed would be the same

if the bottle lands unbalanced, then, by conservation of angular momentum, the initial angular speed would be non-zero, and the final angular speed would be greater :wink:

(though if the bottle was half-full of water, i suspect that some of the water would bounce up immediately on landing, giving a slightly greater moment of inertia that would decrease as the water returned towards the cap, thus slightly increasing the angular speed)
 

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