Perfectly Elastic Collision and final velocity of ball

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SUMMARY

The discussion focuses on calculating the final velocity of a second ball after a perfectly elastic collision with a first ball. Ball 1, with a mass of 3.5 kg and an initial velocity of 5.4 m/s, collides with a stationary Ball 2, which has a mass of 4.8 kg. The solution requires applying the principles of momentum conservation and kinetic energy conservation to derive the final velocity of Ball 2. Participants emphasize the importance of maintaining dimensional consistency and checking limiting cases during calculations.

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  • Understanding of momentum conservation principles
  • Knowledge of kinetic energy conservation
  • Familiarity with elastic collision equations
  • Basic algebra for solving equations
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  • Review the equations for momentum conservation in elastic collisions
  • Study the derivation of final velocities in two-body collisions
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Homework Statement


Two balls collide in a perfectly elastic collision. Ball 1 has a mass of 3.5kg and is initially traveling at a velocity of 5.4m/s
. It collides head-on with stationary ball 2 with mass 4.8kg. Determine the final velocity of ball 2.

Given: m1=3.5kg
vi1=5.4m/s


m2=4.8kg
vi2=0m/s

Homework Equations


See attached pictures

The Attempt at a Solution


See attached pictures
IMG_6159.jpg
IMG_6161.jpg
. I don't know how to solve the problem beyond what I've already done. I'm stuck.​
 
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Can't read it. Momentum conservation and conservation of kinetic energy should be enough to work out this exercise. Postpone inserting numbers as long as reasonable, so you can check the relationships you get (dimension, limiting cases).
Type it out if you want more guidance (at least, from folks like me, and also from folks who don't even try to read photographed solution attempts at all).
 

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