state the relation between kinetic energy and movement of a body
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Relation Between Momentum and Kinetic Energy
Kinetic energy and momentum of a moving body can be mathematically related as follows-
Consider the formula of kinetic energy-
K.E=12mv2
Multiply and divide R.H.S by m
⇒K.E=12mv2×mm =m2v22m =(mv)22m
We know that p=mv. Substituting for mv in the above equation we get-
K.E=p22m
The above equation gives the relation between Kinetic energy and momentum of the object which is under motion.
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Kinetic Energy and Momentum Relationship
Therefore, we can say that a body's kinetic energy is equal to the product of momentum and half its velocity. It is the relation between linear momentum and kinetic energy of a substance.
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