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7 October, 07:04

What is the change in electric potential energy in moving an electron from a location 3 * 10-10 m from a proton to a location 7 * 10-10 m from the proton? The result should be in joules, with an appropriate sign.

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  1. 7 October, 07:53
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    4.39 x 10^-19 J

    Explanation:

    q1 = 1.6 x 10^-19 C

    q2 = - 1.6 x 10^-19 C

    r1 = 3 x 10^-10 m

    r2 = 7 x 10^-10 m

    The formula for the potential energy is given by

    U1 = k q1 q2 / r1 = - (9 x 10^9 x 1.6 x 10^-19 x 1.6 x 10^-19) / (3 x 10^-10)

    U1 = - 7.68 x 10^-19 J

    U2 = k q1 q2 / r2 = - (9 x 10^9 x 1.6 x 10^-19 x 1.6 x 10^-19) / (7 x 10^-10)

    U2 = - 3.29 x 10^-19 J

    Change in potential energy is

    U2 - U1 = - 3.29 x 10^-19 + 7.68 x 10^-19 = 4.39 x 10^-19 J
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