Question:

A single electron orbits a lithium nucleus that contains three protons (+3e)?

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the radius of the orbit is 1.76 x 10^-11m. Determine the kinetic energy of the electron.

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  1. mv^2 / r = k*3e^2 / r^2

    => Kinetic energy

    =(1/2) mv^2

    = k * 3e^2 / 2r

    = (9x10^9) * 3 * (1.6 x 10^-19)^2 / 1.76 x 10^-11 J

    = (27 x 2.56) x 10^-18 / 1.76 J

    = 3.93 x 10^-17 J

    (calculations have not been rechecked)

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