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 e=12 between the sphere and the wall is . The velocity vector of the sphere after it hits the wall is

If y axis parallel to the wall. Velocity along y direction will not change.e = −VxUx = 12vx = −ux2 = −22 = −1Final velocity =−i+2j

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 e=12 between the sphere and the wall is . The velocity vector of the sphere after it hits the wall is

If y axis parallel to the wall. Velocity along y direction will not change.e = −VxUx = 12vx = −ux2 = −22 = −1Final velocity =−i+2j

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

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$\hat{i} - \hat{j}$

$- \hat{i} + 2 \hat{j}$

$- \hat{i} - \hat{j}$

$2 \hat{i} - \hat{j}$

answer is B.

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If y axis parallel to the wall. Velocity along y direction will not change.

$\begin{array}{l} e = \frac{- V_{x}}{U_{x}} = \frac{1}{2} \\ v_{x} = \frac{- u_{x}}{2} = \frac{- 2}{2} = - 1 \\ F i n a l v e l o c i t y = - i + 2 j \end{array}$

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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 e=12 between the sphere and the wall is . The velocity vector of the sphere after it hits the wall is

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