Mechanics> A ball is projected from the ground with ...

A ball is projected from the ground with speed u at an angle α with horizontal. It collides with a wall at a distance ‘a’ from the point of projection and returns to it original position. Find the coefficient of restitution between the ball and the wall.

ASh , 7 Years ago

Grade 11

1 Answers

venkat

We know that,

Coefficient of restitution e=(v₂-v₁)/(u₁-u₂)

Initial velocity of the ball u₁=ucos $\alpha$ $\vec{i}$ +usin $\alpha \vec{j}$

Initial velocity of the wall u₂= $\vec{0}$

Final velocity of the ball v₁=ucos( $\pi$ + $\alpha$ ) $\vec{i}$ +usin( $\pi$ + $\alpha$ ) $\vec{j}$ = -ucos $\alpha \vec{i}$ -usin $\alpha \vec{j}$

Final velocity of the ball v₂= $\vec{0}$

Now,

e={( $\vec{0}$ )-( -ucos $\alpha \vec{i}$ -usin $\alpha \vec{j}$ )}/{(ucos $\alpha$ $\vec{i}$ +usin $\alpha \vec{j}$ )-( $\vec{0}$ )}

e=(ucos $\alpha$ $\vec{i}$ +usin $\alpha \vec{j}$ )/(ucos $\alpha$ $\vec{i}$ +usin $\alpha \vec{j}$ )

$\therefore$ e=1

Last Activity: 7 Years ago

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Mechanics> A ball is projected from the ground with ...

A ball is projected from the ground with speed u at an angle α with horizontal. It collides with a wall at a distance ‘a’ from the point of projection and returns to it original position. Find the coefficient of restitution between the ball and the wall.

ASh , 7 Years ago

venkat

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