Relative Acceleration Across a Potential Difference

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Electrons accelerated from rest through a potential difference of 277,000 volts gain energy equal to the potential difference multiplied by the charge of the electron. Classically, the final speed can be calculated using kinetic energy equations, resulting in a speed of approximately 2.65 x 10^6 m/s. Relativistically, the speed is determined using the relativistic energy-momentum relationship, yielding a final speed close to the speed of light, around 0.99c. The energy gained by the electron is 4.42 x 10^-14 joules. Understanding both classical and relativistic calculations is essential for accurate predictions of electron behavior in high-energy scenarios.
Paulman35
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Electrons are accelerated from rest through a potential difference of 277000 .

a) What is the final speed predicted classically? in m/s

b) What is the final speed predicted relativistically? in m/s
 
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Can you show what you've tried so far to get to the solution?
 
I don't even know where to start.
 
What is the energy gained by the electron?
 
This is all of the information I have, If I knew any other information I would have included it in the question.
 

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