An evacuated tube uses an accelerating voltage of 67 kV to accelerate electrons to hit a copper plate and produce X-rays. How much voltage would be required to cause protons to reach the same speed an electron reaches? (We don't worry that the protons would be going in the opposite direction)

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force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2