A gun that fired charged particles

  • Thread starter Dart82
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  • #1
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Homework Statement


A gun that fires charged particles accelerates a 5-μC charge from rest through a potential difference of 50,000 V. The particle has a mass of 0.025 kg. With what speed does it leave the gun?


Homework Equations


EPE = KE
(1/2)qV = (1/2)mv^2 , solve for v^2



The Attempt at a Solution


EPE = (1/2) x (5^-6 Coulombs) x (50,000 Volts)

KE = (1/2) x ( 0.025kg) x (v^2)

where the problem lies:
When i solve for velocity i get 3.16 m/s, however the answer my teacher gave to this problem was 4.5 m/s. Am i missing something here??
 

Answers and Replies

  • #2
berkeman
Mentor
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Are you sure that the electrical potential energy is (1/2)qV?
 
  • #3
57
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ahhh...nothing like a good 'ole misprint on the formula sheet to trip you up. thanks for the insight!!
 

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