Eli5 If the equation for force is F=ma why does dropping the same object from 2 different heights change how much an object would be crushed?

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In science one year, we did a test of dropping a water bottle from different heights over a Pringle, and we had to protect the Pringle with a paper. But how would increasing the height increase the force is the mass and acceleration is the same?

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Anonymous 0 Comments

F = ma. Good start!

Now let’s talk about the collision. That’s going to be p(momentum) = mv.

p(falling object) will be compared to the material strength of the object it’s hitting. If it’s a direct hit on a solid flat surface, we’ll ignore pressure, and just work with a single point (P(pressure) = F/A, for reference).

We can calculate V by doing V=d/t. Fairly easy in this case. If you didn’t measure it, we can also do v = at. And if you don’t have the distances we can just compare using v1 =d/t v2 = 2d/t. In this case we immediately see a big change in v1 and v2.

Momentum is conserved. So p1 = p2 + (material strength).

As far as material properties goes, that’s a whole science in its own. I’m breaking it down into one single variable here but realistically there’s a ton of variables and different measurements that might be relevant that I don’t know enough about to get into.

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