Inertia: What Causes Resistance to Motion Change?

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In summary: If he then releases you, you will continue to accelerate until you hit a wall and then decelerate until you hit the floor.The second example is like the first, but with an added complication. Imagine you are on a swing and your partner pushes you from the side. If you have no oil on your shoes the force of the push will cause you to accelerate in a straight line until you reach the top of the swing. If you have oil on your shoes, however, the force of the push will cause you to rotate around the pivot point. In this case the push is acting like a motor and your swing is the object being accelerated.
  • #1
spacecadet11
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Hello. Inertia is the resistance a material object has to a change in it's present motion because of an applied force..or even if an object is initially motionless.

Why does matter have this quality? In the vacuum of outer space should it require virtually no energy to impart momentum to matter? What is causing the resistance?

Thanks
SC
 
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  • #2
Why does matter have this quality?
Nobody knows. Physics is not good at this sort of "why" question - we simply know that it does.
In the vacuum of outer space should it require virtually no energy to impart momentum to matter?
No. There is no "should" about it - we know that it does require work to accelerate a mass.

What is causing the resistance?
Nobody knows. Inertia - which is to say, mass, is a fundamental property that many objects have. If you were to find that inertia were caused by something else more fundamental then you'd just be faced with wondering where that property came from and why it imparts inertia.
 
  • #3
spacecadet11 said:
Why does matter have this quality?

Because that's how matter behaves in the universe that we live in.

I know, that's not a very satisfying answer, but it's all there is. Physics is about describing the universe and its rules of operation. It's not so good at explaining why the rules are what they are and not something different.

You can explain inertia in terms of conservation of momentum, but that just moves the "because it is" answer around. Why is momentum conserved in the universe we live in? Noether's theorem says that it follows from symmetry under spatial translations... But there's no reason why the universe has to have this particular symmetry, it just does.

On the other hand, knowing what the rules are can be very powerful even if we don't know why they are what they are. Mankind has done some pretty impressive stuff with Newton's laws over the last few centuries.
 
  • #4
spacecadet11 said:
Hello. Inertia is the resistance a material object has to a change in it's present motion because of an applied force..or even if an object is initially motionless.

Why does matter have this quality? In the vacuum of outer space should it require virtually no energy to impart momentum to matter? What is causing the resistance?

Thanks
SC

Reading your post, you may be misunderstanding the term "resistance". In a vacuum, any object (no matter how large) will move as a result of even the smallest force. "Resistance" isn't a "refusal" to move.

What inertia means is that the more massive an object the less it moves under a given force. Or, more precisely, the accleration is inversely proportional to the mass.

What would be the alternative? That any object attains the speed of light upon the slightest touch? You just touch a cannonball gently and ... it flies off as though you'd shot it from a cannon?

On Earth, you have various resisting forces such as friction. So, a cannonball lying on the ground will require a minimum force to make it move at all. If you push it too gently it won't move at all. But, this "refusal" to move is really caused by friction, not directly by inertia.

In a vacuum, where there is no friction, the cannonball will always move if you push it: its inertia will determine how fast it will accelerate, not whether it will move or not.
 
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  • #5
spacecadet11 said:
Hello. Inertia is the resistance a material object has to a change in it's present motion because of an applied force..or even if an object is initially motionless.
Why does matter have this quality?
If you tell me what exactly is a force, I'll tell you what is inertia.

--
lightarrow
 
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  • #6
What is a force? If you get your brother, sister or a friend to stand next to you put a hand on your shoulder and push what you will feel is a "force". A force is that which changes the state of motion of an object. How great the effect on you ( whether you hit the nearest wall or not) depends on how much "force" the person applied ( how hard they pushed) and your body mass ( that is if we assume your shoes are friction less - generally not true but assume your floor is an air hockey table and the soles of your shoes have been oiled and you should be pretty close) which will determine how much you accelerate. In this case the force could be impulsive - only applied for a relatively short time so your final velocity would be a constant. If on the other hand your partner doesn't have oiled shoes and the floor is not an air hockey table for him, but still is for you, and he continues to push with the same force, you will continue to accelerate and your velocity will continue to increase until he stops pushing or you hit the wall.
 
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  • #7
If you define a force as "what changes the state of motion of a body", then asking what is inertia is meaningless and the problem is solved.
(I don't intend that your answer is meaningless, only that the answer to the OP question is simple, whatever the definition of force he gives. Your is one, there are others, but whatever it is I can give him a simple answer).

--
lightarrow
 
  • #8
DaveC49 said:
A force is that which changes the state of motion of an object.
You can have forces in static situations.
 
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  • #9
spacecadet11 said:
Inertia is the resistance a material object has to a change in it's present motion because of an applied force..or even if an object is initially motionless.

I don't really like to look at this way. It's valid, but it's not particularly meaningful or instructive.

First, consider that these two things are the same:
1. An object not moving.
2. An object moving in a straight line at a steady speed.

Any perceived difference is due only to your motion relative to the object. And there's no experiment you can perform that will allow you to determine which of the two things you are doing!

So in this sense inertia is not a property of the object, but rather a consequence of your (an observer's) motion through space.

Secondly, when an object does undergo a change in it's velocity, there's a direct proportion between the rate at which its velocity changes (its acceleration) and the force applied to the object. One might wonder why, when the same force is applied to two different objects, they don't have the same acceleration. And the answer is that there's a property these objects have that can be used to explain why this happens. That property is called the mass. But it only explains it insofar as to be able to predict that when an object has a larger mass it undergoes a smaller acceleration. There is nothing more to it than that. It's simply the fact that this property can be used by scientists to make predictions about how things move, and engineers can use it to design and build things that work for us. It's the utility of the concept, not any underlying philosophical consideration, that explains its presence.

This became quite clear in the very early 1900's when it was shown by both theory and experiment that the direct proportion between force and acceleration is an approximation that's valid only for speeds small compared to the speed of light, and that the energy of its internal constituents make a contribution to the object's mass. After all, how can the validity of a concept have a deeper philosophical meaning when it's no longer valid?

Why does matter have this quality?

The closest question to that asked by physicists: What gives the fundamental particles their mass?

In the vacuum of outer space should it require virtually no energy to impart momentum to matter?

Imagine an astronaut on a space walk using her legs to push off the side of the ISS. Do you suppose that the astronaut and the ISS will undergo the same acceleration? Or do you suppose that the astronaut will undergo the larger acceleration because of her smaller mass?
 
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  • #10
A simple intuitive answer is that mass has inertia because acceleration imparts kinetic energy to a mass, and it takes work, which is force times distance, to do that. The SI unit of work is the joule, the result of a force of one Newton moving a mass a distance of one meter along the applied direction of force. Naturally, one joule of work done to accelerate a mass increases its kinetic energy by one joule.
 

1. What is inertia?

Inertia is the tendency of an object to resist changes in its state of motion.

2. What causes inertia?

Inertia is caused by the mass of an object. The greater the mass, the greater the inertia.

3. How does inertia affect an object's motion?

Inertia causes an object to maintain its current state of motion. If an object is at rest, it will remain at rest unless acted upon by an external force. If an object is in motion, it will continue to move in the same direction and at the same speed unless acted upon by an external force.

4. Can inertia be overcome?

Yes, inertia can be overcome by applying an external force to an object. The greater the inertia of the object, the greater the force needed to overcome it.

5. How is inertia related to Newton's First Law of Motion?

Newton's First Law of Motion states that an object will remain at rest or in motion with a constant velocity unless acted upon by an external force. This is essentially describing the concept of inertia - an object will maintain its state of motion unless acted upon by an external force.

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