two bodies of mass 1kg and 4kg have equal kinetic energy.wat is the ratio of their momentum?

Let the KE be 'x'

Therefore for body of mass 1kg

= 1/2 X 1kg X v_{1}^{2}= KE --(i)

Again,

KE= 1/2 X 4kg X v_{2}^{2}---(ii)

Comparing 1 and 2,

We get

=1/2 X 1kg X v_{1}^{2}=1/2 X 4kg X v_{2}^{2}

=v_{1}^{2}/v_{2}^{2}=4

= v_{1}/v_{2}= 2--(i)

Mass of body 1/ mass of body 2 = 1/4---(ii)

Multiiplying (i) X (ii)

=1/4 X 2

=1/2

= 1 : 2

Therefore ratio of momentum of 1: 2 = 1:2

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