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# How Newton's Laws apply to Archery

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by on 17 November 2013

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#### Transcript of How Newton's Laws apply to Archery

Newton's 3rd Law (Law of Action-Reaction)
Newton's Law of Action-Reaction states that for every action there is an equal and opposite reaction. This means that if you pull back a bow as an action, the bow will spring forward as a reaction.
The Objective
In archery, the object is to make the arrow hit the bulls-eye or close to it using only a bow. There is all types of bows. Compounds, longbows, composites, recurves, self bows, and reflex. They all work out differently although the object is always the same.
Newton's 2nd Law (Law of Force and Acceleration)
Newton's Law of Force and Acceleration simply sates that F=MA. This means that if you have two out of three, mass, acceleration, or force, you can always figure out the third one by either multiplying or dividing.
F=MA
M=F/A
A=F/M
How Newton's Laws apply to Archery
Bow and Arrow
Newton's 1st Law (Law of Inertia)
Newton's Law of Inertia simply states that an object at rest tends to stay at rest as an object in motion tends to stay in motion until acted upon by an unbalanced force.
How it applies...
In order to make the bow go forward you have to pull on the string and then let go. This results in the bow going forward, a perfect example of Newton's Law of Action-Reaction. Forces usually act in pairs.
How it applies...
If you don't let go of the arrow, it will stay at rest. But once you let go it will stay in motion until an unbalanced force acts upon it such as gravity or the target. This is a great example of Newton's Law of Inertia. The greater the mass, the greater the inertia.
How it applies...
If you know two of the components such as force and mass, you can easily find the third variable, in this case acceleration. Figure out the force by pulling the string back with a spring scale, mass by measuring the arrow on a triple beam balance, and acceleration by dividing the force by mass. If the arrow is 2Kg and the bow exerts 20N then the arrow goes at 10 m/s squared. This is an example of Newton's Law of Acceleration and Force.
Works Cited
Slide #2) www.trosperarchery.com
5) www.123rf.com