Question

relation between momentum and kinetic energy with explanation
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Answer 1

Explanation:

P=mv. And kinetic energy =1/2 mv^2

So p=mv, m=p/v

So ke= 1/2 X (p/v) X v^2

=1/2XpXv

K.E.=(pv)/2

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Answer 2

Relationship between kinetic energy and momentum :

K.E = 1/2 mv² (1)

P = mv or v = P/m (2)

Substitute value of v = p/s in (1) :

K.E = 1/2 m(p/m)²

K.E = p²/2m

p² = 2 mK.E

∴ Kinetic energy and momentum are related as :

p = √2mK.E

K.E = p²/2m