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In this lesson, we will learn how to calculate the change in motion of objects that collide elastically and inelastically.

Q1:

Two identical billiard balls are labeled ball π΄ and ball π΅ . Ball π΄ has velocity v i j 1 = ( 2 . 0 β 1 . 0 ) m/s. Ball π΅ has velocity v i j 2 = ( β 1 . 2 + 1 . 4 ) m/s. The billiard balls collide elastically when the center of ball π΄ is at the origin and the center of ball π΅ is at the point ( 2 π , 0 ) . Assume that the force between the balls is directed perpendicularly to the point of contact between them and that there is no friction force between the balls when they collide.

What is the velocity of ball π΄ after the collision?

What is the velocity of ball π΅ after the collision?

Q2:

What is the coefficient of restitution for perfectly elastic impact?

Q3:

A billiard ball, labeled Ball_{1}, moves in the positive π₯ -direction at 2.56 m/s. Ball_{1} collides with another, stationary, billiard ball, labeled Ball_{2}. Both ballsβ masses are 230 g. After the collision, Ball_{1} has a speed of 0.340 m/s and moves in a direction 4 3 . 0 β above the positive π₯ -direction.

What is the speed of Ball_{2} after the impact?

At what angle below the positive π₯ -direction is the motion of Ball_{2}?

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