Final question of the day help finding impulse of two billiard balls

AI Thread Summary
The discussion revolves around calculating the impulse and final velocities of two billiard balls after a collision. The impulse of the second ball is calculated as 0.75 kg*m/s, while the first ball's impulse is 1.2 kg*m/s. Participants emphasize the importance of using vector definitions for initial momenta to determine direction. They also highlight that in elastic collisions, both kinetic energy and momentum are conserved. The conversation suggests resolving final momenta in two directions to accurately find the final velocities.
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Homework Statement


A billiard ball going 4 m/s collides with a stationary ball of equal size cause the second ball to move at an angle of 35 degrees at speed of 2.5 m/s
--mass=.3 kg
What impulse (magnitude and direction) did second ball receive? What about the first ball?
What is the final velocity (magnitude and direction) of the frist ball?


Homework Equations


impulse=kg * m/s
final velocity...?

The Attempt at a Solution


Impulse of second ball=.3*2.5= .75 kg*m/s
Impulse of first ball=.3*4=1.2 kg*m/s
Those right? How do I calculate the direction...?
 
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You can make life a little easier for yourself by keeping the vector definitions of the initial momenta. Then when you finish, direction will be incorporated into your answer, you'd just need to find the magnitude.
 
Billiard balls are assumed to be perfectly elastic.

What quantities are conserved in elastic collisions?
 
shooting star-kinetic and momenta
 
Then why don't you equate the initial and final energies and momenta rpty?

Resolve the final momenta in the two directions along and perp to the initial direction of the first ball.
 
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