Coefficient of restitution problem

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SUMMARY

The discussion focuses on solving a coefficient of restitution problem involving two identical steel balls A and B with initial velocities of VA = 6 m/s and VB = 8 m/s. The coefficient of restitution is given as e = 0.7. The user correctly calculates the y-component of VA as -5.196 m/s and sets up the equation e = (VB' - VA')/(VA - VB) to find the relative velocities after impact. The user seeks confirmation on the correctness of their method and guidance on the next steps to solve for the final velocities of both balls.

PREREQUISITES
  • Understanding of the coefficient of restitution in collisions
  • Knowledge of vector components in physics
  • Familiarity with the equations of motion and momentum conservation
  • Basic algebra for solving equations
NEXT STEPS
  • Learn how to apply conservation of momentum in elastic and inelastic collisions
  • Study the calculation of final velocities in two-dimensional collisions
  • Explore examples of coefficient of restitution problems in physics textbooks
  • Review vector decomposition techniques for analyzing motion in multiple dimensions
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This discussion is beneficial for physics students, educators, and anyone preparing for exams involving collision problems and the application of the coefficient of restitution in mechanics.

Samtheguy
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Homework Statement



The two identical steel balls A and B moving with initial velocities VA = 6 m/s and VB = 8 m/s collide, as shown in figure Q4. If the coefficient of restitution is e = 0.7, determine the magnitude and direction of the velocity of each ball just after impact.
(See Attachment, Question 4)

The Attempt at a Solution



Calculate the y-component of VA.
VA(y) = 6*cos(30) = -5.196 m/s (Since it is traveling in the -y direction)

e = (VB' - VA')/(VA - VB)

Where:

(VB' - VA') is the relative velocity of separation after impact (m/s)
(VA - VB) is the relative velocity of approach (m/s)
e is the coefficient of restitution

0.7 = (VB' - VA')/(-5.196 - 8)

0.7*(-5.196 - 8) = (VB' - VA')

-9.2372 = (VB' - VA')

Is this method correct so far? If so, I don't know where to go from here.
 

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Any help on this question would be great as I got this same question on an exam and I am wondering if I got the beginning right or not.
 

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