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V. Numerical Problems · Q13

Q.People often say, 'For every action there is an equal and opposite reaction,' referring to a human being's 'action'. Is it correct to apply Newton's third law to human actions in this way? What is meant by 'action' in Newton's third law? Give your arguments based on Newton's laws.

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Step 1. In Newton's mechanics, 'action' and 'reaction' refer specifically and only to a pair of physical forces exerted by two bodies on each other, as in F⃗12=−F⃗21\vec F_{12}=-\vec F_{21} — e.g. a hand pushing a wall, and the wall pushing back on the hand.

Step 2. The popular saying 'for every action there is an equal and opposite reaction' is often stretched, in everyday speech, to cover moral or psychological 'actions' (e.g. 'if you are rude to someone, they will be rude back') — but this is a loose figure of speech, not a statement of physics.

Step 3. Newton's third law, being a physical law about forces (defined via momentum and its rate of change), applies strictly ONLY where an actual physical force is transmitted between two bodies. A person's thoughts, decisions, or general behaviour are not 'forces' in the Newtonian sense, so the law simply does not apply to them. …

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