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    Special Relativity - Energy Problems.

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    A particle of mass 3.5 MeV/c2 and kinetic energy 4.5 MeV collides with a stationary particle of mass 0.5 MeV/c2 . After the collision, the particles stick together.

    (part 1 of 5)
    Find the total energy of the first particle before the collision. Answer in units of MeV.

    (part 2 of 5)
    Find the speed of the first particle before the collision. Answer in units of c.

    (part 3 of 5)
    Find the initial total momentum of the system. Answer in units of MeV/c.

    (part 4 of 5)
    Find the mass of the system after the collision. Answer in units of MeV/c2 .

    (part 5 of 5)
    Find the total kinetic energy after the collision. Answer in units of MeV.

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    https://brainmass.com/physics/energy/special-relativity-energy-problems-145386

    Solution Preview

    Please see the attached file.

    The total energy of a particle is the sum of its rest mass and its kinetic energy:

    In our case the total energy of the first particle is:

    However, the total energy is also given by:

    Hence the speed of the particle (in units of c) before the collision is:

    The initial speed of the first particle is:

    The relation between momentum and energy ...

    Solution Summary

    Special relativity and total energy of particles before, during and after collision are given.

    $2.19

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