Problem: A proton has an initial speed of 3.9 × 105 m/s.What potential difference is required to reduce the initial speed of the proton by a factor of 3?_____ kV

FREE Expert Solution

Electrical potential energy:

U=qV

Kinetic energy:

KE=12mv2

vf = v0/3

U0 = qV0

Uf = qVf 

KE0 = (1/2)mv02 

KEf = (1/2)mvf2 = (1/2)m(v0/3)2 = (1/18)mv02 

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Problem Details

A proton has an initial speed of 3.9 × 105 m/s.

What potential difference is required to reduce the initial speed of the proton by a factor of 3?
_____ kV