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Principle of Superposition

Two identical...

Question

Two identical billiard balls strike a rigid wall with the same speed but at different angles,and get reflected without any change in speed,as shown in Fig. $5.6$ . what is (i) the direction of the force on the wall due to each ball? (ii) the ratio of the magnitudes of impulses imparted to the balls by the wall?

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Solution

Let angle of ball (1) = A
Angle of ball (2) = B
Change in velocity of ball (1)
$= V_{f} - V_{I} (V cos A^J + V^i) - (V sin A^i - V cos A J) = 2 V cos A J I m p u l s e = c h a n g e i n m o m e n t u m = 2 M V cos A^J D i r e c t i o n o f m o m e n t u m = N o r m a l t o w a l l R a t i o o f i m p u l s e = \frac{2 M V cos A}{2 M V cos B} = \frac{cos A}{cos B}$

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