Why does height affect the amount of damage an object does?

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Height affects the damage an object can cause due to the increased speed it gains while falling, which directly influences the impact force upon collision. As an object falls from a greater height, it accelerates and reaches a higher velocity, resulting in greater deceleration when it hits a surface, thus increasing the force of impact according to F=MA. The actual force experienced during impact can vary based on the material being struck, as softer materials may absorb some of the energy, reducing the force applied. Kinetic energy is a more accurate measure of destructive potential than force, as it accounts for both speed and mass. Ultimately, while height contributes to speed and impact force, the energy of the object is the crucial factor in determining its destructive capability.
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If I were to drop a penny from empire state building it would do more damage than if i dropped it from standing distance. Why? F=MA. neither the penny's acceleration nor mass change when its falling so the forces on both pennies should be the same. The only solution i could come up with is that the acceleration comes from the deceleration caused when the penny hits the ground which would be bigger than the acceleration due to gravity and would be based on the time spent falling or in other words the height . am i correct?
 
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iknowsigularity said:
Why? F=MA

We should make this sentence into a meme.

The penny dropped from the empire state building is traveling at a higher speed when it impacts whatever it impacts on the ground,
 
HomogenousCow said:
We should make this sentence into a meme.

The penny dropped from the empire state building is traveling at a higher speed when it impacts whatever it impacts on the ground,
im aware but why does that affect force?
 
HomogenousCow said:
We should make this sentence into a meme.

The penny dropped from the empire state building is traveling at a higher speed when it impacts whatever it impacts on the ground,
F=MA Not F=MV
 
You were right that the deceleration when it hits the ground is what causes the impact force via f=ma. So higher speed = larger force (more deceleration needs to happen to make it stop).
 
russ_watters said:
You were right that the deceleration when it hits the ground is what causes the impact force via f=ma. So higher speed = larger force (more deceleration needs to happen to make it stop).
thank you!
 
I'd say the energy here is crucial, which is in turn connected to speed - kinetic energy (hope I don't have to write it down).
Ever heard that bullet has "that-and-that kJ"? This is how sometimes destructive potential of a weapon is given.

It is true that the "force" that penny will be applying to the object is connected to the deceleration - problem is, depending on what it will be hitting, the deceleration might differ greatly. Let's assume you're to hit some kind of weak material, that is easy to penetrate. Penny will go through, and "force" that will apply on its road further will be lower, than when it hits, say, a solid wall.

It is not really good, that in common language "force" is connected with hitting something hard, because force can change as quickly as speed, acceleration, or any other parameter is such experiment. What is almost constant (well, assuming there is energy loss due to friction to air) is the energy of that object, and that is what you should be looking at.

And while it, there is a speed, at which force of friction between air and the object in question is equal, meaning that you won't accelerate any further. So it doesn't matter from how far you throw that penny from - my wild guess would be, that you could throw it from 20m, and it would reach its "top speed" in air. That said, it won't reach any astronomic amounts of speed, and thus, speed, which means it won't be as destructive, as one might think. :=)

As a side now - for humans (welp), this height is about 50m, and approximate speed that human can be falling freely is about 200km/h.
 
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Perq said:
I'd say the energy here is crucial, which is in turn connected to speed - kinetic energy (hope I don't have to write it down).
Ever heard that bullet has "that-and-that kJ"? This is how sometimes destructive potential of a weapon is given.
Yes. Because the dynamics of the impact are very complicated and specific, force is rarely used to describe destructive potential; kinetic energy is better.
 
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