Are Inertia and Momentum the Same in Physics?

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SUMMARY

Inertia and momentum are distinct concepts in physics. Momentum, represented by the equation p = mv, is the product of an object's mass (m) and its velocity (v), making it a measure of an object's motion. In contrast, inertia is a property of an object that quantifies its resistance to changes in its state of motion or rest, and does not have a numerical value. While inertia remains constant, momentum can change, particularly when an object's velocity varies.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with the concepts of mass and velocity
  • Knowledge of the equation for momentum (p = mv)
  • Basic grasp of the concept of force (F = ma)
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  • Study the relationship between mass, velocity, and momentum in various physical scenarios
  • Explore the concept of moment of inertia and its applications in rotational dynamics
  • Investigate the implications of inertia in different frames of reference
  • Learn about the role of momentum conservation in closed systems
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Students of physics, educators explaining classical mechanics, and anyone interested in understanding the fundamental differences between inertia and momentum.

student85
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Are they the same thing?
momentum = p = mv
 
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Inertia is more like m
 
Interia has no numerical value unlike momentum. It's just a property of an object based on its mass.
 
Ok, that's what I thought. But then, how would you define momentum? (in words)
 
"momentum is the measure of inertia "
and inertia is the property of the system or the object to resist a change in its state i.e either the state of motion or of rest
 
"momentum is the measure of inertia "

Inertia is unchanging whereas momentum can be changing. (for all classical approx.)

momentum is concerned with moving things.
 
Inertia is related to mass. Momentum is related to mass and speed (as the equation shows).
 
Virtual said momentum is the measure of inertia.
Then, velocity must be part of inertia. I think it makes sense since the faster the object is going, the harder it is to change its condition...am I right?
 
student85 said:
Virtual said momentum is the measure of inertia. [That] makes sense since the faster the object is going, the harder it is to change its condition...

I wouldn't equate inertia with momentum. It's just as hard to stop a fast object as it is, after stopping it, to then speed the object back up again, however the stationary object has infinitely less momentum.

Perhaps a formal definition for inertia (or moment of inertia) should be the force (or torque) with which an object resists a change in its velocity (or in its angular velocity). Consequently, the SI unit for inertia would be kg (or, er, kgm^2/rad).
 
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student85 said:
Virtual said momentum is the measure of inertia.
Virtual was wrong to say that because...
Then, velocity must be part of inertia. I think it makes sense since the faster the object is going, the harder it is to change its condition...am I right?
No, you are clearly not right as f=ma doesn't say anything about velocity, does it? If it got harder to change velocity when speed was higher, those terms should appear in that equation.

(caveat: relativity not needed here)
 

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