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According to the principle of energy conservation, how is kinetic energy related to the initial kinetic energy and the excitation energy (ε)?

1. Kinetic energy is given by 1 / 2 mv₁² + 1 / 2 mv₂² = 1 / 2 mv₁² + 1 / 2 mv₂² - ε
2. Kinetic energy is expressed as 1 / 2 mv₁² + 1 / 2 mv₂² = ε
3. Kinetic energy equals the initial kinetic energy minus the excitation energy, K.E. = K.E.₁ - ε
4. None of these options are correct

Correct answer: Kinetic energy equals the initial kinetic energy minus the excitation energy, K.E. = K.E.₁ - ε

Solution

The formula K.E. = K.E.₁ - ε directly represents the conservation of energy, where the kinetic energy decreases by the excitation energy ε. This matches option C.

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