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  4. A solid sphere moves on a horizontal surface, performing pure rolling motion, with speed v0. It collides with a smooth vertical wall elastically. the velocity at which it again performs pure rolling, is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-uzzi0adonutl.png />

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Q. A solid sphere moves on a horizontal surface, performing pure rolling motion, with speed $v_{0}.$ It collides with a smooth vertical wall elastically. the velocity at which it again performs pure rolling, is

Question

NTA AbhyasNTA Abhyas 2020System of Particles and Rotational Motion

Solution:

COAM
$Mv_{0}R-\frac{2}{5}Mv_{0}R=\frac{7}{5}MvR$
$v=\frac{3}{7}v_{0}$