Physics

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In the Bohr model of the hydrogen atom,
the speed of the electron is approximately
2.41 × 10^6 m/s.
Find the central force acting on the electron
as it revolves in a circular orbit of radius
5.15 × 10^−11 m. Answer in units of N.

Find the centripetal acceleration of the electron. Answer in units of m/s^2.

  • Physics -

    F = k q1 q2 / r^2
    k = 9*10^9
    q1 = -1.6 * 10^-19
    q2 = +1.6 * 10^-19
    R = 5.15*10^-11
    SO
    F = -9*10^9 * 1.6^2 * 10^-38 / 5.15^2*10^-22
    =-.869*10^-7 N = -8.69*10^-8 N
    negative r is inward direction

    v^2/r = -(2.41)^2*10^12/5.15*10^-11
    =-1.13*10^23
    also acceleration inward toward center

    rough check
    does F = ma?
    F = -8.69 * 10^-8
    m a = 9.11*10^-31 *-1.13*10^23 = -10.3 *10^-8

    off by about 15%. Not too bad for a rough estimate

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