Question

A light and a heavy object have the same momentum. Find out the ratio of their kinetic energy and which
one has the highest kinetic energy?

Answer 1

one object has light mass another object has heavy mass but they have same Momentum so one has mass Greater and one has velocity Greater

object with light mass has more kinetic energy

Answer 2

Answer:

$\huge \mathfrak \red{answer}$

P1 = m1v1

P2 = m2v2

But P1 = P2 or m1v1 = m2v2

if m1<m2 then v1<v2

(K.E)1 = 1/2 m1v2/1

(K.E)2 = 1/2 m2v2/2

(K.E)1 = 1/2(m1v1) = 1/2(p1v1)

(K.E)2 = 1/2(m2v2)v2 = 1/2 p2v2

(K.E)1/(K.E)2 = 1/2p1v1 / 1/2p2v2

V-1/2

But v1>v2 Therefore (K.E)1 > (K.E)2

Hope it helps you..