Two bodies of unequal masses have same linear momentum. Which one has greater K.E. ?

Tow bodies of unequal masses have same K.E. Which one has greater linear momentum?

A light and a heavy body have equal momenta. Which one has greater K.E

Two bodies of masses m_1 and m_2 have the same linear momentum. What is the ratio of their kinetic energies?

Relation between kinetic energy and momentum Let us consider a body of mass 'm' having a velocity 'v', then momentum of the body P = mass xx velocity P = m xx v rArr v = (P)/(m) " "...(1) From definition, kinetic energy (K.E) of the body K.E = (1)/(2) mv^(2)" "...(2) Now putting the value of (1) in (2) we have K.E = (1)/(2)m ((P)/(m))^(2) K.E. = (1)/(2)m (P^(2))/(m^(2)) = (1)/(2) (P^(2))/(m) = (P^(2))/(2m)" "...(3) Thus we can write P^(2) = 2m xx K.E rArr P = sqrt(2m xx K.E) Thus momentum = sqrt(2 xx "mass" xx "kinetic energy") Two bodies A and B of unequal masses having same momentum have masses in the ratio 1 : 2 then their K.E are in the ratio

Assertion : If two objects of different masses have same momentum, the lighter body possess greater velocity. Reason : For all bodies momentum always remains same.

Oxygen and Helium gases are in same container. Which one has greater K.E. per molecules?

Two bodies of masses m and 2m have same momentum. Their respective kinetic energies E_(1 ) and E_(2) are in the ratio

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

The moments of inertia of two rotating bodies A and B are I_(A) and I_(B). (I_(A) gt I_(B)) and their angular momenta are equal. Which one has greater K.E. ?