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Originally Posted by Blackbeard
I think you're confused on what "equal and opposite reaction" means. It only means that the force moving the bullet forward is equal to the force moving the gun backward. Not all force results in movement.
While this is true in general, in this hypothetical case the planet Earth is in fact moved very slightly when the gun is fired. While the end result is no net change in the system as a whole, for a moment the Earth is perturbed a little bit. Just because we can't measure the pitifully small amount does not change the physical reality.
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Originally Posted by Blackbeard
Think of it this way -- if you push on a door that is not latched, the door opens. If the door is latched, does your arm blow up? No.
Theoretically, for the purposes of this discussion it could "blow up" (or rather shatter) in your example, given sufficient force--this is analogous to a barrel obstruction.
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Originally Posted by Blackbeard
Motion results when inequal forces are imparted to an object.
That's not true at all, and it would violate one of Newton's laws, which says that reaction forces are simply equal and opposite. So in reality, the forces are equal whether or not there is motion.
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Originally Posted by Blackbeard
You push on a latched door, and the latched door pushes back on you equally. No motion.
Actually, there is no motion because both objects are part of the same system, the door being attached and latched to the house or building, and you being attached by friction (enabled by gravity) to the same structure.
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Originally Posted by Blackbeard
Unlatched door cannot push back equally -- motion -- door opens.
No, it pushes back on you equally hard due to inertia, transferring a torque through your feet into the structure, and then from the structure into the Earth--it's just too small to notice or measure due to the size of the Earth, that's all. What I'm saying here is that the opposing forces are equal but that doesn't necessarily mean that the resulting velocities of the objects will be, which depends on their masses (the Earth being far more massive than the door, of course).
Quote:
Originally Posted by Blackbeard
Same idea with gun against wall vs. gun against shoulder. The wall can push back equally, your shoulder cannot.
But in this example the bullet moves regardless of whether your shoulder does or not--think about that. In truth, both the bullet and the Earth move, whether something in between also moves or not...actually, even the stiffest materials attaching the gun to the Earth will move, although it may be too little for us to notice. However, in the end the bullet and Earth are part of the same system, which is bound by gravity, so there is no net change in momentum, just a transitory wiggle in the Earth's rotation and/or motion that is too small to measure or matter. The very same thing happens when you walk or drive a car, by the way.