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A ball of mass m moving at a speed v makes a head-on collision with an identical ball at rest. The kinetic energy of the balls after the collision is 3/4th of the original. If the coefficient of restitution is e, find the value of e2.

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Detailed Solution

As we have seen in the above discussion that under the given conditions:v1=1+e2v and v2=1−e2vGiven that Kf=34Ki or 12mv12+12mv22=3412mv2Substituting the values, we get 1+e22+1−e22=34 or (1+e)2+(1−e)2=3 or 2+2e2=3 or e2=12 or e=12

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