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    Kinetic energy ofneutron and nucleus

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    A neutron in a nuclear reactor makes an elastic head-on collision with the nucleus of a uranium atom initially at rest.
    (a) What fraction of the neutron's kinetic energy is transferred to the uranium nucleus? (The mass of the uranium nucleus is about 238 times the mass of the neutron.)

    (b) If the initial kinetic energy of the neutron is 1.6 10^13 J, find its final kinetic energy and the kinetic energy of the uranium nucleus after the collision.
    J (neutron)
    J (carbon nucleus)

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    https://brainmass.com/physics/energy/kinetic-energy-ofneutron-and-nucleus-41217

    Solution Preview

    Let
    m1= mass of neutron
    m2= mass of uraniun nucleus
    v1i= initial velocity of neutron
    v1f= final velocity of neutron
    v2i = initial velocity of uranium nucleus
    v2f = final velocity of uranium nucleus

    Since the collision is elastic , Kinetic energy before the collision and after the collision are the same

    From the conservation of momentum
    m1v1i + m2v2i = m1v1f + m2v2f
    From the conservation of Kinetic ...

    Solution Summary

    The solution calculates the fraction of the neutron's kinetic energy that is transferred to the uranium nucleus when a neutron in a nuclear reactor makes an elastic head-on collision with the nucleus of a uranium atom initially at rest. It also calculates the final kinetic energy of the neutron and the kinetic energy of the uranium nucleus after the collision.

    $2.49

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