Two spheres moving in opposite directions with velocities u1 and u2 collide will each other. If e is the coefficient of restitution, their distance of separation at time ‘t’ after collision is

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(u1-u2)et

(u2-u1)et

(u1+u2)et

u1u2et

answer is C.

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Detailed Solution

v2−v1u1−u2=e vel. of separationvel. of approachalong the line of impact(v2 - v1) = e (u1 - u2)Separation after time t, (v2-v1)t = e(v1-v2)tAs v1 and v2 are opposite direction

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