What Does the Equation (KE1-KE2)/KE2 = M/(M+m) Represent in Physics?

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SUMMARY

The equation (KE1-KE2)/KE2 = M/(M+m) represents the theoretical fractional energy loss during a collision, specifically inelastic collisions where kinetic energy is not conserved. In this context, KE1 and KE2 denote the initial and final kinetic energies, respectively, while M and m represent the masses of two colliding objects. The discussion emphasizes the relationship between kinetic energy and momentum conservation, particularly when velocities are significantly lower than the speed of light (v << c). The equation is derived from the principles of mechanics, focusing on energy transformations during collisions.

PREREQUISITES
  • Understanding of kinetic energy equations, specifically KE = 1/2 mv².
  • Familiarity with the concepts of momentum and conservation laws in physics.
  • Basic knowledge of inelastic collisions and energy loss mechanisms.
  • Awareness of relativistic effects on kinetic energy when velocities approach the speed of light.
NEXT STEPS
  • Study the principles of conservation of momentum in collisions.
  • Explore inelastic collision examples and their impact on kinetic energy.
  • Learn about relativistic kinetic energy calculations for high-speed objects.
  • Investigate the derivation of energy loss formulas in various collision scenarios.
USEFUL FOR

Physics students, educators, and anyone interested in understanding the mechanics of collisions and energy transformations in physical systems.

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hi i have a question. What does this equation mean??
(KE1-KE2)/KE2=M/(M+m) and how is it derived??

I don't understand. Please help me.
 
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Could you give more information? For instance does this have anything to do with planets, pendulums, levers, or pullies?
 
What does M and m represent? Is this molecular kinetic theory? (i.e. M is mass of volume V of gas and m is the mass of one molecule) or is it mechanics?
 
Last edited:
heyy...sorry

the question has to do with collision..the conservation of energy and momentum. the formula has to do with the theoretical fractional energy loss
the letters "f" and "i" are subscript. (KEi-KEf)/KEi=M(M+m)
The M and m are masses. I don't know how to give anymore information because that's about all i know. please help.. anyone who understands these things...
 
It looks like you have two objects in a system and this systme has an initial kinetic energy of KE_i and a final kinetic energy of KE_f. When v<<c, KE= \frac{1}{2}mv^2. When v is not v<<c then KE= \frac{mc^2}{\sqrt{1-v^2/c^2}}-mc^2.

Some of the kinetic energy will be lost if the collision is inelastic.
 
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