What is Coefficient of restitution?
The '''coefficient of restitution''' ('''COR''', also denoted by '''e'''), is the ratio of the final to initial relative speed between two objects after they collide. It is also defined as the ratio velocity of separation to velocity of approach.<ref>{{Cite web |title=What is coefficient of restitution? |url=https://www.toppr.com/ask/en-gb/question/what-is-coefficient-of-restitution/ |access-date=2021-11-20 |archive-date=2021-11-20 |archive-url=https://web.archive.org/web/20211120052121/https://www.toppr.com/ask/en-gb/question/what-is-coefficient-of-restitution/ |url-status=dead }}</ref> The value is almost always equal to 1or less than 1 due to initial translational [[kinetic energy]] being lost to rotational kinetic energy, plastic deformation, and heat. Mathematically Coefficient of restitution (e)= Velocity of separation/Velocity of approach. Coefficient of restitution is always =1<1. Coefficient of restitution was postulated and developed by [[Isaac Newton|Sir Isaac Newton]].<ref>{{Cite journal|last1=Weir|first1=Graham|last2=McGavin|first2=Peter|date=2008-05-01|title=The coefficient of restitution for the idealized impact of a spherical, nano-scale particle on a rigid plane|url=https://ui.adsabs.harvard.edu/abs/2008RSPSA.464.1295W|journal=Proceedings of the Royal Society of London Series A|volume=464|issue=2093|pages=1295–1307|doi=10.1098/rspa.2007.0289|bibcode=2008RSPSA.464.1295W|s2cid=122562612|issn=0080-4630}}</ref> == Range of values for ''e'' – treated as a constant == '''''e''''' is mostly a positive, [[real number]] between 0 and 1: '''''e'' = 0''': This is known as perfectly ''inelastic'' collision. It implies that kinetic energy along the common normal is 0. Kinetic energy is converted to heat or work done in deforming the objects. '''0 < ''e'' < 1''': This is a ''inelastic'' collision, in which some kinetic energy is dissipated. It can also achieve both in practical and in mathematical calculation.<ref>{{Cite journal|last1=Kuninaka|first1=Hiroto|last2=Hayakawa|first2=Hisao|date=2004-10-05|titl