A proton makes a head-on collision with an unknown particle at rest. The proton rebounds straight back with 4/9 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of the proton, assuming that the collision is elastic. Hints: Tbe proton has mass m and the unknown narticle bas

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A proton makes a head-on collision with an unknown particle at rest. The proton
rebounds straight back with 4/9 of its initial kinetic energy. Find the ratio of the mass of
the unknown particle to the mass of the proton, assuming that the collision is elastic.
Hints: The proton has mass m, and the unknown particle has
mass M. The upper sketch is before the collision, and the
lower sketch is after the collision. Both momentum P and
mechanical energy (kinetic energy K) are conserved in the
elastic collision.
V
M
Transcribed Image Text:A proton makes a head-on collision with an unknown particle at rest. The proton rebounds straight back with 4/9 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of the proton, assuming that the collision is elastic. Hints: The proton has mass m, and the unknown particle has mass M. The upper sketch is before the collision, and the lower sketch is after the collision. Both momentum P and mechanical energy (kinetic energy K) are conserved in the elastic collision. V M
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