Calculating Relativistic Energy and Momentum of a Proton

AI Thread Summary
The discussion emphasizes that the classical kinetic energy formula (mv^2/2) is only valid at low speeds and serves as an approximation. For high-speed scenarios, particularly when dealing with relativistic effects, the exact expressions for energy and momentum must be utilized. Participants highlight the limitations of approximations in physics and the importance of applying the correct formulas based on the speed of the object. Understanding these distinctions is crucial for accurately calculating the relativistic energy and momentum of a proton. Accurate calculations are essential in advanced physics contexts.
cosmos42
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Homework Statement


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Homework Equations


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The Attempt at a Solution


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I see you are aware that mv^2/2 is only an approximation. As a general rule of thumb, any approximation will have some limited domain of usefulness. In this case, it is only an approximation at low speeds. For high speeds you should use the exact expression.
 
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