a light and a heavy object have the same momentum find out the ratio of their kinetic energies.Whichone has a larger kinetic energy ?
let mass of 2 object be m1and m2 and their velocity be v1 and v2 respectively.
given momentum are same
momentum=massxvelocity
m1v1=m2v2
v1/v2=m2/m1
ratio of k.e=1/2m1(v1)2 /1/2m2(v2)2
=(v1/v2)2 x m1/m2
=m2*m2*m1/m1*m1*m2
=m2/m1
ratio=m2:m1
as kinetic energy and mass are inversly propotional
the lighter object will have more k.e.