A ball of mass m moving at a speed v makes a head on inelastic collision with an identical ball at rest. The kinetic energy of the balls after the collision is `3/4th` of the original. Find the coefficient of restitution.
Text Solution
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As we have seen in the above discussion that under the given conditions: `v_(1)=((1+e)/2)v` and `v_(2)=((1-e)/2)v` given that `K_(f)=3/4K_(i)` or `1/2mv_(1)^(2)+1/2mv_(2)^(2)=3/4(1/2mv^(2))` Substituting the values we get `((1+e)/2)^(2)+((1-e)/2)^(2)=3/4` or `(1+e)^(2)+(1+e)^(2)=3` or `2+2e^(2)=3` or `e^(2)=1/2 ` or `e=1/(sqrt(2))`
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CENGAGE PHYSICS ENGLISH-CENTRE OF MASS-INTEGER_TYPE
