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

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Homework Help Overview

The problem involves a collision between two billiard balls, where one ball is moving and the other is stationary. The scenario requires calculating the impulse experienced by both balls and determining the final velocity of the first ball after the collision.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the impulse for both balls based on their masses and velocities. Some participants suggest considering vector definitions for initial momenta to incorporate direction into the impulse calculations. Others question the conservation laws applicable in elastic collisions.

Discussion Status

The discussion is ongoing, with participants exploring the implications of conservation laws in elastic collisions. Guidance has been offered regarding the use of vector definitions to simplify the calculations, but no consensus has been reached on the specific calculations or methods to be used.

Contextual Notes

It is noted that billiard balls are assumed to be perfectly elastic, which raises questions about the conservation of kinetic energy and momentum in the collision. Participants are also considering how to resolve momenta in different directions.

pebbles
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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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