A smooth sphere is moving on a horizontal surface with velocity vector $$2i$$¯$$+2j$$¯ immediately before it hits a vertical wall. The wall is parallel to j¯ vector and the coefficient of restitution between the sphere and the wall is $$e=12$$. The velocity vector of the sphere after it hits the wall is

Along wall, velocity is same. Normal to wall V¯$$=$$−eV¯$$=I2($$−$$2i^)=$$−$$i^$$ Final velocity $$=$$−$$i^+2j^$$

Questions

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

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- \bar{i} + 2 \bar{j}

2 \bar{i} - \bar{j}

\bar{i} - \bar{j}

- 2 \bar{i} - 2 \bar{j}

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detailed solution

Correct option is A

$Along wall, velocity is same.$

$Normal to wall \bar{V} = - e \bar{V} = \frac{I}{2} (- 2 \hat{i}) = - \hat{i}$

$Final velocity = - \hat{i} + 2 \hat{j}$

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A smooth sphere is moving on a horizontal surface with velocity vector 2i¯+2j¯ immediately before it hits a vertical wall. The wall is parallel to j¯ vector and the coefficient of restitution between the sphere and the wall is e=12. The velocity vector of the sphere after it hits the wall is

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