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a_sh-v [17]
3 years ago
15

How much kinetic energy does a proton gain if it is accelerated, with no friction, through a potential difference of 1.00 V? The

proton is 1836 times heavier than an electron
Physics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

If energy is conserved, then the sum of the potential energy and the kinetic energy is a constant.

Assuming the proton starts from rest, so it's kineitc energy is zero, but it has a potential energy, PE equal to:

PE = qV

where q =1.6 x 10^-19 C

and V = 1.00 V

Assuming the proton no longer experiences the potential energy and it is all converted to kinetic energy then:

PE* = 0,

KE* = 1/(2mv^2)

Now since

PE + KE = Total energy =PE* + KE*

Therefore,

qV + 0 = 0 + 1/2mv^2

Or

KE = qV = 1.6 10^-19 J

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