How Fast Can a Proton Move Using a Van de Graaff Generator?

[Nitrate]

A small demo Van de Graaf Generator can accelerate charges with a potential difference of 3.0 x 10^5 V. How fast can a proton move with the aid of this device?
q: charge
d: distance
V: voltage
E: Electrostatic field strength
Mass of Proton [According to my formula sheet]: 1.67 x 10^-27 kg
Elementary charge: 1.60 x 10^-19 C



2. F[electrostatic]=qE
F=ma
E = V/d




3. I tried using the formula F=qE to calculate force, but I only have the potential difference with no distance. I'm guessing you have to imput the value you get from F[electrostatic] into the formula F = ma, but I really don't know how to do it given only voltage.

 

[cupid.callin]

do you know what is the electrostatic potential energy?
use energy conservation i.e this potential energy will give kinetic energy to the charge

 

[Nitrate]

i actually do not know what you are talking about when you say electrostatic potential energy.

 

[tiny-tim]

Hi Nitrate!

Electric potential is defined as https://www.physicsforums.com/library.php?do=view_item&itemid=269" per charge.

(just as gravitational potential is defined as gravitational potential energy per mass)