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18 March, 20:10

What is the acceleration of a proton moving with a speed of 7.0 m/s at right angles to a magnetic field of 1.7 t?

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  1. 18 March, 21:26
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    We know that a charge moving in a magnetic field is subject to the force:

    F = q · v · B

    But we also know that:

    F = m · a

    Therefore, it must be:

    m · a = q · v · B

    And solving for a:

    a = q · v · B / m

    Recall that for a proton:

    q = 1.6 * 10⁻¹⁹ C

    m = 1.673*10⁻²⁷ kg

    Now, you can find:

    a = 1.6*10⁻¹⁹ · 7.0 · 1.7 / 1.673*10⁻²⁷

    = 1.14 * 10⁹ m/s²

    Hence, the acceleration of the proton is 1.14 * 10⁹ m/s².
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