Compute the ratio of the total energy to initial lab energy

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A body of mass m₁ with initial velocity v₀ collides with a second body, of mass m₂, initially at rest (like in the LAB frame). The initial Kinetic energy K₀ of the first body must be "paid for"(must be provided by some energy source). But it is the total kinetic energy of the two bodies in the center-of-mass(CM) frame which represents the energy available for reactions, to create new particles, et cetera. Calculate the ratio of this total energy to the initial LAB energy K₀, in term of the masses m₁ and m₂.

Reference no: EM13986621

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