document.write( "Question 1198185: Two billiard balls collide. Ball 1 moves with a velocity of 4 m/s, and ball 2 is at rest. After the collision, ball 1 comes to a complete stop. What is the velocity of ball 2 after the collision? Is this collision elastic or inelastic? The mass of each ball is 0.16 kg. \n" ); document.write( "
Algebra.Com's Answer #831735 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "Refer to this page
\n" ); document.write( "https://openstax.org/books/physics/pages/8-3-elastic-and-inelastic-collisions
\n" ); document.write( "Quote: \"In an elastic collision, the objects separate after impact and don’t lose any of their kinetic energy.\"
\n" ); document.write( "also
\n" ); document.write( "Quote: \"An inelastic collision is one in which objects stick together after impact, and kinetic energy is not conserved.\"\r
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\n" ); document.write( "\n" ); document.write( "We can see that since the billiard balls don't stick together, and instead separate, this means the collision is elastic.\r
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\n" ); document.write( "\n" ); document.write( "m1 = mass of the first ball
\n" ); document.write( "vi1 = initial velocity of the first ball
\n" ); document.write( "vf1 = final velocity of the first ball\r
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\n" ); document.write( "\n" ); document.write( "m2 = mass of the second ball
\n" ); document.write( "vi2 = initial velocity of the second ball
\n" ); document.write( "vf2 = final velocity of the second ball\r
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\n" ); document.write( "\n" ); document.write( "Due to the elastic collision, we can use this conservation of momentum formula
\n" ); document.write( "m1*vi1 + m2*vi2 = m1*vf1 + m2*vf2
\n" ); document.write( "an example problem can be found here
\n" ); document.write( "https://www.ck12.org/physics/Elastic-and-Inelastic-Collisions/lesson/Elastic-and-Inelastic-Collisions-PHYS/\r
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\n" ); document.write( "\n" ); document.write( "We have these values
\n" ); document.write( "m1 = m2 = 0.16 kg
\n" ); document.write( "vi1 = 4 m/s
\n" ); document.write( "vf1 = 0 m/s (since the 1st ball comes to a stop)
\n" ); document.write( "vi2 = 0 m/s (the 2nd ball starts at rest)
\n" ); document.write( "vf2 = x = unknown\r
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\n" ); document.write( "\n" ); document.write( "Let's determine x
\n" ); document.write( "m1*vi1 + m2*vi2 = m1*vf1 + m2*vf2
\n" ); document.write( "0.16*4 + 0.16*0 = 0.16*0 + 0.16*x
\n" ); document.write( "0.16*4 = 0.16*x
\n" ); document.write( "x = 4
\n" ); document.write( "It's not particularly interesting since each ball has the same mass, so we expect the amount of speed going in is the amount coming out (assuming no kinetic energy is lost to heat)
\n" ); document.write( "I suggest you try different mass values for each ball to see how the vf2 value will change.\r
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\n" ); document.write( "\n" ); document.write( "Further reading
\n" ); document.write( "https://www.khanacademy.org/science/physics/linear-momentum/elastic-and-inelastic-collisions/a/what-are-elastic-and-inelastic-collisions\r
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\n" ); document.write( "\n" ); document.write( "Answers:
\n" ); document.write( "Velocity of the 2nd ball, after the collision, is 4 m/s
\n" ); document.write( "The collision is elastic.
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