Is the equality between action and reaction based exclusively on the
third law formulated by Newton and considered so obvious that it never
needed any experiment to confirm it, or has some experiment actually
been carried out?
On 2025-06-01 08:10:52 +0000, Luigi Fortunati said:
Is the equality between action and reaction based exclusively on the
third law formulated by Newton and considered so obvious that it never
needed any experiment to confirm it, or has some experiment actually
been carried out?
Newton based the low on experiments performed before he wrote the
Principia. Later experiments have not found any deviation from the
law.
The equality of action and reaction can be inferred from the law of conservation of momentum, which is also confirmed by all experiment.
[[Mod. note --
There are lots of experiments which support Newton's *2nd* law.
Given Newton's 2nd law, there's a gedanken-experiment which lets us
derive (or at least strongly argue for) Newton's *3rd* law. Briefly,
the gedanken-experiment has 3 bodies touching each other
A B C
with an external force pushing right on A (which then pushes right
on B, which then pushes right on C). We apply Newton's 2nd law to B,
and then consider the limiting case where B becomes very thin in the >horizonal direction (e.g., maybe B is a sheet of aluminum foil oriented >vertically) and B has very small mass.
This weekend I'll try to post a more detailed analysis of this >gedanken-experiment and what we can infer from it about Newton's 3rd
law.
-- jt]]
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