What happens when two objects collide?

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The discussion centers on the theoretical problem of predicting the outcomes of collisions between two solid objects shaped like regular pyramidal frustums. Key factors include the materials, mass, velocity, and friction of the objects, with the assumption that they collide at their tops and their motion vectors are opposite. Examples illustrate various collision outcomes, such as bouncing, cutting, or piercing, depending on the objects involved. The poster seeks insights into possible algorithms or basic predictive models rather than precise calculations. The conversation emphasizes the need for a simplified approach to understand collision dynamics.
zpodnisn
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Hello,

I'm sorry that I can't format the thread as intended and for very likely misuse of terms, but I'm a programmer barely remembering anything form physics (and non-native english speaker to boot), and I have a theoretical problem, not an actual homework. However I believe the problem is quite simple.


The problem itself:

two objects collide, I need to get a "logical result" of the collision - motion, energy absorption / damage.


Assumptions:

objects are solid (composed from one material)
objects have shape of regular pyramidal frustum, collide with tops
motion vectors are directly opposite, centres of mass are residing on a line and stay on the line after collision


Known for objects:

materials
surface of base / top
mass or height
velocity
base friction

everything else can be ignored or have a default value assumed


Examples:

a thrown pebble hits a wooden crate. Results: pebble is bounced back
a thrown axe hits a wooden crate. Results: crate is cut, axe stopped
a fired bullet hits a wooden crate. Results: crate is pierced, bullet continues moving
a stopping car hits a wooden crate. Results: crate is bounced forward and takes impact damage


If you don't have time/will to provide exact algorithms and formulas, I'd appreciate any opinions on the problem solvability and possible algorithms.
 
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The problem is too open.
You've seen the variation - there are whole libraries written just on material properties.
Narrow the problem down: what do you want to know for?
 
The problem may seem too open indeed, but I don't need any precise calculations, but rather just basic predictions. Examples I provided are likely to be solved by any human child or moderately trained neural network - all I need is a simple math base behind it.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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