Question

6. How is kinetic energy of an object related to its
momentum? Establish the relation.
$\sqrt{ - + }$
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Answer 1

Answer:

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Answer 2

Answer:

Kinetic energy and momentum of a moving body can be mathematically related as follow-

Consider the formula of kinetic energy-

K.E=12mv^2

Multiply and divide R.H.S by m

⇒K.E=1/2mv^2×m/m =m^2v^2/2m =(mv)^2/2m

We know that p=mv. Substituting for mv in the above equation we get-

K.E=p^2/2m

The above equation gives the relation between Kinetic energy and momentum of the object which is under motion