Calculating Impact Force When Force Is Not Constant

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SUMMARY

The calculation of impact force in systems where force is not constant cannot be achieved through traditional methods like the Work formula, as energy is not conserved in a straightforward manner during impacts. Instead, the appropriate approach is to utilize a Force-time graph, where the area under the curve represents the change in momentum. This method accounts for the complexities of energy dissipation into sound, heat, and deformation during the impact process.

PREREQUISITES
  • Understanding of Force-time graphs
  • Knowledge of momentum and its conservation
  • Familiarity with energy dissipation in physical systems
  • Basic principles of mechanics and dynamics
NEXT STEPS
  • Study the principles of momentum conservation in collisions
  • Learn how to create and interpret Force-time graphs
  • Explore energy dissipation mechanisms in impacts
  • Investigate advanced topics in dynamics, such as impulse and impact analysis
USEFUL FOR

Physics students, engineers, and professionals involved in mechanics, particularly those focused on impact analysis and dynamic systems.

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If force isn't constant in a system, how can I calculate impact force of two bodies accelerating towards each other.
Can I use the Work formula since energy in a system is conserved?
Give an example, of a way I can calculate impact force in a system in which force is not constant.
Thanks.
 
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You don't. The concept of "impact force" makes no sense.
What you do is you plot a Force-time graph: the area under that graph is the change in momentum.

It is very unusual for the energy in an impact to be conserved in a way that makes the calculation easy: hoe do you account for the energy that goes to sound, heat, or deformation of the impacting objects?
 

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