A particle of mass m and charge q is released from rest in a uniform electric field Find the momentum attained by the particle after moving

Question

A particle of mass m and charge q is released from rest in a uniform electric field Find the momentum attained by the particle after moving distance xis

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Acacia 4 years 2021-08-07T19:09:11+00:00 1 Answers 51 views 0

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  1. thugiang
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    2021-08-07T19:10:51+00:00
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    Answer:

    Momentum = 2qEx/v

    Explanation:

    From the work – energy theorem, we know that;

    Kinetic energy = work done

    Now, formula for both are;

    Kinetic energy = ½mv²

    Work done = qEx

    Where;

    m is mass

    v is velocity

    q is charge

    E is Electric field

    x is distance covered.

    Thus;

    ½mv² = qEx – – – – (eq 1)

    Now, momentum formula is;

    p = mv

    Let’s rewrite the left hand side of equation 1 to reflect p = mv. Thus;

    ½v(mv) = qEx

    ½vp = qEx

    p = 2qEx/v

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