Proof Change of kinetic energy in collision

AI Thread Summary
The discussion focuses on deriving the change in kinetic energy during a collision, represented by the equation Q = 1/2 μ v² (1-e²). It emphasizes that both particles involved in the collision experience a loss of kinetic energy post-collision. The coefficient of restitution (e) is defined to quantify the energy loss, calculated using the velocities before and after the collision. Additionally, the principle of conservation of momentum is highlighted as a crucial equation that must be applied alongside kinetic energy equations. Understanding these concepts is essential for analyzing collisions in physics.
Meigara.Juma
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Homework Statement



Give equation change of kinetic energy in collision :
Q = 1/2 μ v2 (1-e2)

Proof that for both energy kinetic of particle is loss after the collision?

Homework Equations



e = (V2 finish - V1 finish) / (V1 initial - V2 initial)
μ = reduced mass = (m1.m2) / (m1+m2)
v = v1inital - v2initial

The Attempt at a Solution



k1init = ...
k2init = ...
k1finish = ...
k2finish = ...
 
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Meigara.Juma said:
e = (V2 finish - V1 finish) / (V1 initial - V2 initial)

Besides the above you need another equation

i.e.

conservation of momentum.
 
grzz said:
Besides the above you need another equation

i.e.

conservation of momentum.

I just only had that equation.
 
The principle of conservation of momentum is obeyed in every collision ( if used correctly!) and so can always be used just like 'f = ma' for example.
 
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