3 4 5 Paragraph for Question Nos 13 to 15 Two identical billiard balls of...

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3 4 5 Paragraph for Question Nos 13 to 15 Two identical billiard balls of radius 5 cm and each of mass 1Kg moving with a speed of 3 ms roll without slipping towards each other on a horizontal rectangular U shaped trough that is sufficiently deep that the balls are clear of its base see figure The resulting instantaneous collision is perfectly elastic and during it each ball reverses its linear velocity though their angular velocities are not affected 200 more problems book I How wide does the trough need to be for the balls to collide twice A 3 cm B 5 cm C 15 cm D 10 cm Angular velocity of ball after collision is Assuming width of trough is least for second collision A 30 10 rad sec B 15 10 rad sec C 10 10 rad sec D 60 rad sec Minimum impulse of friction force so that second collision occure is A 3 Kg m s B 2 Kg m s C 1Kg m s D 10 Kg m s

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