A particle of mass `m` travelling with velocity `v` and kinetic energy `E` collides elastically to another particle of mass `nm`, at rest. What is the fraction of total energy retained by the particle of mass `m`?A. `((n+1)/n)^(2)`B. `((n+1)/(n-1)^(2))`C. `((n-1)/(n+1))^(2)`D. none of these

A particle of mass `m` travelling with velocity `v` and kinetic energy

1.	A particle of mass `m` travelling with velocity `v` and kinetic energy `E` collides elastically to another particle of mass `nm`, at rest. What is the fraction of total energy retained by the particle of mass `m`?A. `((n+1)/n)^(2)`B. `((n+1)/(n-1)^(2))`C. `((n-1)/(n+1))^(2)`D. none of these
Answer» Correct Answer - C `mv=mv_(1)+nmv_(2)` `v=v_(1)+mv_(2)=v_(2)v_(1)` `implies v_(2)=(2v)/((n+1)),v_(1)=((1-n)/(1+n))v` `(KE_(1))/(KE_(2))=(1/2mv_(1)^(2))/(1/2mv^(2))=((1-1)/(n+1))^(2)`

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A particle of mass `m` travelling with velocity `v` and kinetic energy `E` collides elastically to another particle of mass `nm`, at rest. What is the fraction of total energy retained by the particle of mass `m`?A. `((n+1)/n)^(2)`B. `((n+1)/(n-1)^(2))`C. `((n-1)/(n+1))^(2)`D. none of these

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