Find Speed of Electron Given Momentum - Equation Explained

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    Electron Momentum
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To find the speed of an electron given its momentum of 4.8 x 10^-19 kg·m/s, the equation p = mv / sqrt(1 - (v/c)^2) is used. The textbook reformulates this to p = (mc)(v/c) / sqrt(1 - (v/c)^2), which can be confusing. This transformation involves expressing momentum in terms of relativistic mass and velocity. Solving for v requires algebraic manipulation and understanding of relativistic effects. Clarification on these steps can help resolve confusion regarding the equation's derivation and solution.
thata6
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find the speed of an electron.
given that the momentum of the electron is 4.8 x 10-19kg.m/s

p=mv/ sqr root of 1-(v/c)2



use the above equation to find v.
The solution in the textbook re-writes the above equation as
p=(mc)(v/c)/sqr root 1-(v/c)2. How on Earth do they come to this, and how is this equation solved. been sitting with this for a long time and very confused.
 
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