Momentum and CollisionHardBloom L3

Question

A smooth sphere is moving on a horizontal surface with a velocity vector $(2\widehat{i} + 2\widehat{j})$ m/s immediately before it hit a vertical wall. The wall is parallel to vector $\widehat{j}$ and coefficient of restitution between the sphere and the wall is e = 1/2. The velocity of the sphere after it hits the wall is

Options

A.$\widehat{i} - \widehat{j}$
B.$- \widehat{i} + 2\widehat{j}$
C.$- \widehat{i} - \widehat{j}$
D.$2\widehat{i} - \widehat{j}$

Solution

Sol.

∴ smooth sphere ⇒ f = 0 ⇒ vy = s uncylindrical

∴ ${\bar{v}}_{f} = - \widehat{i} + 2\widehat{j}$

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