Low velocity impact craters in sand

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SUMMARY

The discussion centers on the relationship between mass, height, and sand particle size in determining the diameter of low velocity impact craters. The participant highlights that the cube of the crater diameter is proportional to the kinetic energy (KE) of the impacting object. They seek a theoretical justification for why the energy of the impacting ball correlates with the volume of material excavated, emphasizing the need to understand how the energy is utilized in lifting the impacted material.

PREREQUISITES
  • Understanding of kinetic energy and its mathematical representation.
  • Familiarity with the principles of impact cratering.
  • Knowledge of material properties, specifically regarding sand particle size.
  • Basic physics concepts related to energy transfer and conservation.
NEXT STEPS
  • Research the physics of impact cratering and energy transfer mechanisms.
  • Explore the mathematical relationship between crater diameter and kinetic energy.
  • Investigate the effects of different sand particle sizes on crater formation.
  • Study experimental methods for measuring crater dimensions and material displacement.
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High school students, educators in physics, and researchers interested in impact dynamics and material science.

Liverpool8
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Hi, i am working on a high school project on how various factors (mass, height and sand particle size) affect crater diameter.

I am struggling to find a solid hypothesis/ theory on this question. I have found out that the cube of the diameter is proportional to the KE of the ball, but i am struggling to find justification of this with physical theory.

For example why is the energy of the ball proportional to the volume of the material excavated on impact?
 
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Think where the energy of the ball goes.
It must lift the material it hits.
The mass of material lifted is proportional to what?
 

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