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What is the relation between Momentum and Kinetic Energy of an object?

An Arrow coming with a high speed can do a lethal damage. Is this because its high momentum or high Kinetic Energy or something else..? Please explan in detail

We know that

Hence, this relation tells that if momentum is doubled (keeping mass constant) the KE will increase by a factor of 4.

Momentum by definition is motion contained in the body and kinetic energy is energy of the body associated with its motion. The two quantities are different in many ways; kinetic energy being scalar gives scalar properties of body whereas momentum being vector gives vector properties of the body.

Since kinetic energy and momentum are related to each other therefore an arrow does more damage due to its high momentum which in turn results in more  kinetic energy

I hope this clears your doubt.

 

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View Full Answer

KE = 1/2mv2

KE = 1/2m*v*v

P = mv

So KE = 1/2 * P * v

Yes because of high KE the arrow will be able to cause more damage and penetrate deep

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We know that

 

Hence, this relation tells that if momentum is doubled (keeping mass constant) the KE will increase by a factor of 4.
 
Momentum by definition is motion contained in the body and kinetic energy is energy of the body associated with its motion. The two quantities are different in many ways; kinetic energy being scalar gives scalar properties of body whereas momentum being vector gives vector properties of the body.
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