Yes, it does because both objects were added with the same velocity so the difference in their velocities don't change.
But I'm not talking about their collisions, If we push a box, either the box gained the acceleration of a or the rest masses gained the acceleration of -a as we have...
Why are the a's different? They must be the same. if A moves with velocity 'v' relative to B, then from A's perspective, B also appears to move with velocity v.
Consider an object 'O' with mass 'm' initially at rest in space, observed from our point of view. When 'O' is accelerated to a vector 'a', two scenarios arise: either 'O' moves relative to us, leading to a force of F = ma acting upon it, or the rest of the universe (with a mass of M-m) appears...
I'm still wondering, But If you replace it with (a) instead, M will equal to 2m which is wrong because the total mass does not depend on a single object. (-a) might make sense if we dive a little closer to negative masses.
Another answer is because observers moving at constant velocities...
it requires less energy to impart acceleration to an object than to the entirety of the universe, This would break the principle of relativity since the amount of energy to move an object should be the same as the amount of energy to move the rest of the universe. This observation implies a...