Elastic collision: small ball traveling right, hits heavier ball traveling left.

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culfvpfuryc15

Science

Description

A small ball (m= 0.25kg) traveling to the right with a velocity of 16.0m/s makes a perfectly elastic collision with a heavier ball (m=2.00kg) moving to the left with a velocity of 4.00m/s. What is the final velocity of each ball?

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Explanation & Answer

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m1u1+m2u2 =m1v1+m2v2

 ie momentum before collision = momentum after collision


v1=u1(m1-m2)+2m2u2/m1+m2

v1=4(2-0.25)+2*0.25*16/2.25

    = 6.66     for heavier ball

    

v2=16(0.25-2)+2*2*4/2.25

    =-5.33   for smaller ball

Please let me know if you need any clarification. I'm always happy to answer your questions.


Anonymous
Excellent resource! Really helped me get the gist of things.

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