Ithe collision the atom m1 has a final velocity v1f

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Ithe collision the atom m1 has a final velocity v1f -

In an atomic physics experiment, two atoms collide with each other in such a way that the initial total momentum of the atoms is zero. The atoms are chosen so that M2= 2.0 M1.

In the collision, the atom M1 has a final velocity, V_1f= - 0.25 V1j. What is the ratio of the final kinetic energy to the initial kinetic energy of the system (the two atoms)? In other words, what is KE_final/ KE_initial in this collision?

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