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Exercise:
Two particles of identical mass m whose kinetic energy is twice the rest energy collide and form a pair of new particles with identical mass. What is the new particles' maximum mass? Why is it usually smaller?

Solution:
The total energy in the collision is E E_ + sscEkin E_ + E_ E_ The maximum rest energy per new particle is thus E'_textrmmax fracE E_ It follows for the maximum mass of the new particles m' m_e Usually a significant part of the total energy will be kinetic energy of the new particles so their mass is generally smaller than m_e.
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Exercise:
Two particles of identical mass m whose kinetic energy is twice the rest energy collide and form a pair of new particles with identical mass. What is the new particles' maximum mass? Why is it usually smaller?

Solution:
The total energy in the collision is E E_ + sscEkin E_ + E_ E_ The maximum rest energy per new particle is thus E'_textrmmax fracE E_ It follows for the maximum mass of the new particles m' m_e Usually a significant part of the total energy will be kinetic energy of the new particles so their mass is generally smaller than m_e.
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special relativity
Tags
collision, equivalence mass energy, kinetic energy, rest energy
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(1, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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