Two spheres of given masses with given velocities impinge directly; to show that there is a loss
of kinetic energy and to find the amount:
Let m1m2 be the masses of the spheres, u1 and u2, v1 and v2 be their velocities before and after impact and e the coefficient of restitution.
just wait for a viewers upload pdf file in explain the content:
As e<1, the expression (4) is always positive and so the initial K.E. of the system is greater than the final K.E. so there is actually a loss of total K.E. by a collision. Only in the case, when e=1, i.e. only when the bodies are perfectly elastic, the expression (4) becomes zero and hence the total K.E. is unchanged by impact.
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