A light and a heavy body have equal K.E. Which body possesses greater momentum ?

Options

A. the heavy body
B. the light body
C. both have equal momentum
D. data given is insufficient

Answer

A

Explanation

`therefore 1/2m_(1)v_(1)^(2)=1/2m_(2)v^(2)_(2) therefore m_(1)/m_(2)=v_(2)^(2)/v_(1)^(2)`
`therefore m/(4m)=1/4 =((v_(2))/v_(1))^(2) therefore v_(1)/v_(2)=2`
`therefore P_(1)/P_(2)=((m_(1))/(m_(2))) ((v_(1))/(v_(2)))=1/4 xx 2/1=1/2`