Elastic or not? Billiard ball colliding with another

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In the discussion about the billiard ball collision, the primary focus is on determining whether the collision is elastic. It involves a 0.155 kg billiard ball moving at 12.5 m/s colliding with a stationary ball, with the first ball deflecting at a 29.7° angle and a speed of 9.56 m/s. To assess elasticity, one must calculate the final velocity of the second ball and compare the total kinetic energy before and after the collision. The conservation of kinetic energy is emphasized as being applicable across all dimensions in elastic collisions. Ultimately, the conclusion hinges on whether the kinetic energy remains constant throughout the interaction.
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Homework Statement


Billiard ball with mass 0.155kg moves with a velocity of 12.5m/s towards a stationary billiard ball. Assume they both have identical masses. The first billiard ball moves off at an angle of 29.7° clockwise after hitting the stationary one, with a velocity of 9.56m/s. Determine whether the collision was elastic?


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The Attempt at a Solution


Ok the main thing I need to ask is this: is the energy conserved independent for each dimension, in this case, x and y have diff. kinetic energy conservations?
 
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What you'd need to do is find the velocity of the second ball and then check to see if KE before is the same as KE after.
 
aeromat said:
Ok the main thing I need to ask is this: is the energy conserved independent for each dimension, in this case, x and y have diff. kinetic energy conservations?

Kinetic energy is conserved irrespective of dimension if it is an elastic collision
 

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