A light body `A` and a heavy `B` have equal linear momentum. Then the `KE` of the body `A` is

Explanation

Here, `P_(1)=P_(2), i.e., m_(1)v_(1)=m_(2)v_(2)`
`:. (v_(2))/(v_(1))=(m_(1))/(m_(2))` …(i)
As `E_(2)=(1)/(2)m_(2)v_(2)^(2) andE_(1)=(1)/(2)m_(1)v_(1)^
(2)`
v`:. (E_(2))/(E_(1))=((1)/(2)m_(2)v_(2)^(2))/((1)/(2)m_(1)v_(1)^(2))==(m_(2))/(m_(1))((v_(2))/(v_(1)))^(2)`
using (i) `(E_(2))/(E_(1))=(M_(2))/(M_(1)).((m_(1))/(m_(2)))^(2)=(m_(1))/(m_(2))`
If `m_(1)ltm_(2), E_(2)ltE_(1) or E_(1)gtE_(2)`, i.e., lighter body has more K.E.