Coefficient of restitution problem

AI Thread Summary
The discussion revolves around a physics problem involving two identical steel balls colliding with initial velocities of 6 m/s and 8 m/s, and a coefficient of restitution of 0.7. The user calculates the y-component of the velocity for ball A, finding it to be -5.196 m/s. They apply the coefficient of restitution formula to relate the velocities before and after the collision but express uncertainty about the correctness of their method and how to proceed. The user seeks confirmation on their calculations and guidance for solving the problem further. Clarity on the application of the coefficient of restitution and subsequent calculations is essential for resolving the question.
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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