A proton of mass m is at rest when it is suddenly struck head-on by an alpha particle (which consistsof 2 protons and 2 neutrons) moving at

Question

A proton of mass m is at rest when it is suddenly struck head-on by an alpha particle (which consistsof 2 protons and 2 neutrons) moving at speed v. If the collision is perfectly elastic, what speed will the alpha particle have after the collision

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Khánh Gia 3 years 2021-08-26T11:33:22+00:00 1 Answers 25 views 0

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  1. Sigrid
    0
    2021-08-26T11:35:08+00:00
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    Answer:

    3/5 v

    Explanation:

    The computation of speed will the alpha particle have after the collision is shown below:-

    In a perfectly elastic the kinetic energy and collision the momentum are considered.

    The velocity of the particles defines the below equation:

    VA_f=(\frac{m_A-m_B}{m_A+m_B})VA_i+(\frac{2m_B}{m_A+m_B})VB_i

    As we know that

    VA_i=v

    \\VB_i=0

    Here, we consider A is the alpha particle and B is the proton and now by the above values we can solve the equation which is below:-

    VA_f=(\frac{4m-m}{4m+m})v

    \\VA_f=\frac{3m}{5m}v

    \\VA_f=\frac{3}{5}v

    Therefore the correct answer is \frac{3}{5}v

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