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kapitan90
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Homework Statement
I am supposed to show that the force on a relativistic particle when
a) it's perpendicular to particle's velocity is [tex]F=γm_0\frac{dv}{dt}[/tex]
b) it's parallel to particle's velocity is [tex]F_x=m_0γ^3\frac{dv_x}{dt}[/tex]
I may make use of the fact that [tex]\frac{dγ}{dt}=\frac{v_xγ^3}{c^2}*\frac{dv_x}{dt}[/tex]
2. Relevant equation
I don't understand why [tex]\frac{dγ}{dt} [/tex]is 0 in case a) (this follows from the last formula, but I don't understand it either), why do we use [tex]v_x[/tex] instead of v which γ depends on ?
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