The relationship between K.E and Momentum

AI Thread Summary
Momentum and kinetic energy are closely related concepts in physics, both dependent on an object's mass and velocity. As an object falls, its velocity increases, resulting in a corresponding increase in both kinetic energy (KE) and momentum (P). The formula for kinetic energy, KE = 1/2mv^2, shows that KE increases with the square of velocity, while momentum is calculated as P = mv, indicating a linear relationship with velocity. Therefore, as an object's speed increases, both its kinetic energy and momentum rise simultaneously. Understanding this relationship is crucial for analyzing motion in physics.
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Homework Statement


Is momentum and kinetic energy related?Since when an object is falling,it gains k.e and also gains momentum?


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The Attempt at a Solution

 
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Yep, think of it like this (in terms of their formulas):
KE=1/2mv^2 - so basically as the velocity gets greater the KE will become greater till it reaches it's max.
P=MV - as the velocity increases, the momentum increases.
 
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