In relativity the energy E of a particle of mass m is E = ymc², where the Lorentz factory is 1 (¹-(²-)²) " 1/2' u is the speed of the particle and c is the speed of light. Find an expression for the energy in the Newtonian limit when u << c and discuss. Your result should have two terms. One is a term known to everybody, the most popular expression of all physics. Does the other term agree with what you learned previously in introductory mechanics?
In relativity the energy E of a particle of mass m is E = ymc², where the Lorentz factory is 1 (¹-(²-)²) " 1/2' u is the speed of the particle and c is the speed of light. Find an expression for the energy in the Newtonian limit when u << c and discuss. Your result should have two terms. One is a term known to everybody, the most popular expression of all physics. Does the other term agree with what you learned previously in introductory mechanics?
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Transcribed Image Text:In relativity the energy E of a particle of mass m is
E = ymc²,
where the Lorentz factory is
1/2'
(¹-(-)') ¹²'
u is the speed of the particle and c is the speed of light. Find an expression for the
energy in the Newtonian limit when u << c and discuss. Your result should have
two terms. One is a term known to everybody, the most popular expression of all
physics. Does the other term agree with what you learned previously in introductory
mechanics?
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