A light body and a heavy body have same kinetic energy. Which one has greater linear momentum?

Explanation

Here, `E_(1)=E_(2)`
`(1)/(2)m_(1)v_(1)^(2)=(1)/(2)m_(2)v_(2)^(2) or (v_(2)^(2))/(v_(1)^(2))=(m_(1))/(m_(2))`
or `(v_(2))/(v_(1))=sqrt((m_(1))/(m_(2)))`
As `p_(2)=m_(2)v_(2) and p_(1)=m_(1)v_(1)`
`:. (p_(2))/(p_(1))=(m_(2)v_(2))/(m_(1)v_(1))=(m_(2))/(m_(1)).sqrt((m_(1))/(m_(2)))=sqrt((m_(2)^(2)m_(1))/(m_(1)^(2)m_(2)))`
`(p_(2))/(p_(1))=sqrt((m_(2))/(m_(1))),` If `m_(2)gtm_(1)` , then `p_(2)gtp_(1),`
i.e., a heavier body has greater linear momentum.