Kinetic energy of a lighter body is equal to that of a heavier body. Which one ofthem has a greater momentum ?

Kinetic energy of a lighter body is equal to that of a heavier body. W

1.	Kinetic energy of a lighter body is equal to that of a heavier body. Which one ofthem has a greater momentum ?
Answer» Solution :Let mass and velocity of the LIGHTER body be m and v,and those of the heavier body be M andV , respectively. GIVEN `1/2 MV^2 =1/2 mv^2 or, (M^2V^2)/(M)=(m^2v^2)/(m)` `or, (m^2v^2)/(M^2V^2) =m/Mor, (mv)/(MV) = sqrt(m/M)` or, `("MOMENTUM of the lighter body")/("momentum of the heavier body") = sqrt(m/M) lt 1` HENCE, momentum of the heavier body is greater.