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A one-dimensional perfectly elastic collision occurs between two masses on a frictionless surface. The initial kinetic...

A one-dimensional perfectly elastic collision occurs between two masses on a frictionless surface. The initial kinetic energies of the masses were 10 J and 5 J. After the collision the kinetic energy of one of the masses is 20 J. What is the kinetic energy of the other mass?

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Answer #1

For perfectly elastic collision, total kinetic energy of the system before collision is equal to the total kinetic energy of the system after collision.

Above problem is set in such a fashion, where after applying conservation of toatl kinetic energy is applied, one of the particle will end up with negative kinetic energy(-5 J) which entitles that the particles velocity is imaginery( which is absurd). In classical physics kinetic energy is a positively defined function i.e it cannot have negative value, in quatum though negative kinetic energy is defined in case of imaginery momenta of the body, but i dont suppose this is a problem of quantum tunnelling.

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