Action-Reaction
The Physics Hypertextbook™
© 1998-2008 by Glenn Elert -- A Work in Progress
All Rights Reserved -- Fair Use Encouraged
prev | up | next
Discussion
Something
| Lex. III. |
|
Law III. |
| Actioni contrariam ſemper & æqalem eſſe reactionem: ſive corporum duorum actiones in ſe mutuo ſemper eſſe æqualis & in partes contrarias dirigi. |
|
To every action there is always opposed an equal reaction: or the mutual actions of two bodies upon each other are always equal, and directed to contrary parts.
|
| |
|
|
| Quicquid premit vel trahit
alterum, tantundem ab eo premitur vel trahitur. Si quis lapidem digito
premit, premitur & hujus digitus a lapide. Si equus lapidem funi
alligatum trahit, retrahetur etiam & equus ( ut it dicam ) æqualiter
in lapidem: nam funis utrinque diſtentus eodem relaxandi ſe
conatu urgebit equum verſus lapidem, ac lapidem verſus
equum; tantumque impediet progreſſum unius quantum promovet
progreſſum alterius. Si corpus aliquod in corpus aliud
impingens, motum ejus vi ſua quomodocunque mutaverit, idem quoque
viciſſim in motu proprio eandem mutationem in partem contrariam
vi alterius ( ob æqualitatem preſſionis mutuæ ) ſubibit.
His actionibus æquales fiunt mutationes, non velocitatum, ſed
motuum, ( ſcilicet in corporibus non aliunde impeditis ).
Mutationes enim velocitatum, in contrarias itidem partes factæ,
quia motus æqualiter mutantur, ſunt corporibus reciproce
proportionales.
|
|
Whatever draws or presses
another is as much drawn or pressed by that other. If you press a stone
with your finger, the finger is also pressed by the stone. If a horse
draws a stone tied to a rope, the horse ( if I may so say )
will be equally drawn back towards the stone; for the distended rope,
by the same endeavor to relax or unbend itself, will draw the horse
as much towards the stone as it does the stone towards the horse, and
will obstruct the progress of one another as much as it advances that
of the other. If a body impinge upon another, and by its force change
the motion of the other, that body also ( because of the equality
of the mutual pressure ) will undergo an equal change, in its
own motion, towards the contrary part. The changes made by these action
equal, not in the velocities but in the motions of the bodies ( that
is to say, if the bodies are not hindered by any other impediments ).
For, because the motions are equally changed, the changes of the velocities
made towards contrary parts are inversely proportional to the bodies.
|
|
(Newton, interpreted by Elert) For every action there is an equal and opposite reaction.
A force is an interaction between objects.
- forces always occur in pairs (action-reaction, arbitrary assignment)
- same type (normal-normal, tension-tension, friction-friction, etc.)
- same magnitude (why? because!)
- act on different objects (object pairs)
- in opposite directions (obvious, hopefully)
- have different effects (acceleration is inversely proportional to mass)
Action and reaction are exerted on different objects and so don't cancel.
When two bodies interact, they exert equal and opposite force on each other.
That Professor Goddard, with his " chair " in Clark College and the countenancing of the Smithsonian Institution, does
not know the relation of action to reaction, and of the need to have something
better than a vacuum against which to react — to say that would be absurd.
Of course he only seems to lack the knowledge ladled out daily in high
schools. "Topics of the Times." New York Times. (13 January 1920): 12.
For every expert, there is an equal and opposite expert.
Anonymous
Summary
- Newton's third law of motion also known as the law of action and reaction states that …
- A force is an interaction between two objects.
- Forces always occur in pairs that …
- are arbitrarily assigned the names action and reaction,
- are of the same type,
- have the same magnitude,
- act on different objects,
- act in opposite directions, and
- may have different effects (since acceleration is inversely proportional to mass).
Problems
practice
- Suppose everyone in China was to jump in the air simultaneously. Estimate
the following quantities to the nearest order of magnitude …
- the acceleration of the earth
- the initial velocity of the earth
- the maximum displacement of the earth
- The smart-assed horse problem.
- Write something different.
- Write something completely different.
numerical
- problems
Resources
- historical
- general
- space toilets
- How astronauts do it: Taking a dump in space, Phil West and Charlie Spencer explain how IT is done in space in this NASA educational video, YouTube
- Space Toilet, Chris Hadfield of the Canadian Space Agency at the Ontario Science Centre explaining one origin of shooting stars, YouTube
prev | up | next