Finding velocity given change in potential

AI Thread Summary
An electron accelerated from rest by a potential difference of 422 V can have its velocity calculated using energy conservation principles. Initially, the electron has no kinetic energy, only potential energy. The potential energy change can be calculated using the formula U = q * ΔV, where q is the charge of the electron. After determining the potential energy, the equation 6.752E-17 = 0.5mv^2 is used to find the velocity. Careful attention to units is crucial in this calculation to ensure accuracy.
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Homework Statement



An electron is accelerated from rest by a potential difference of 422 V. What is its velocity?

Homework Equations



KE = .5mv^2

The Attempt at a Solution



Since the electron started from rest, there is no KE at the start, just potential. After it is accelerated I assumed that there was not potential and that the electron only had potential energy.
Doing this, i was able to set up a conservation of energy equation where:
422 = .5mv^2

is this the correct way of going about solving this?
 
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Your thinking is correct, but you should watch the units carefully. More to the point, what are the energy units that go with 422?
 
eV goes with 422, but KE would be in joules... uh oh! i did some digging and ended up finding that getting the deltaU = q * deltaV (U is change in potential energy, V is change in the potential, q is charge). i multiplied my potential by the charge and then set up the new equation: 6.752E-17 = .5mv^2 and got the right answer. Thanks mate.
 
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