# Q5.18 Two billiard balls each of mass 0.05 kg moving in opposite directions with speed $6ms^{-1}$ collide and rebound with the same speed. What is the impulse imparted to each ball due to the other?

D Devendra Khairwa

Impulse imparted can be calculated by knowing the change in momentum.

The initial momentum of each ball is :

$p_i\ =\ mu\ =\ (0.05) 6\ =\ 0.3\ Kg\ m/s$

The final momentum is given by :

$p_f\ =\ mv\ =\ (0.05) (-6)\ =\ -\ 0.3\ Kg\ m/s$

So the impulse is :

$I\ =\ p_f\ -\ p_i$

or                                                   $=\ -0.3\ -\ 0.3$

or                                                   $=\ -0.6\ Kg\ m/s$

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