- #1
bradcad
- 1
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Hi all
My first post, please go gentle on me as I have a very limited understanding of physics. I do enjoy trying to understand, and hence my question. I hope you can help.
I have just started archery- about to pick up my first bow. For the last few weeks I have been reading archery books and websites including forums to learn as much as I can.
One consistant question I come across is- how heavy should arrows be for a certain task. For example, those into hunting are very particular about using an arrow weighted to a task. The larger the animal they want to hunt, the heavier the arrow. Seems fair enough.
My confusion-
'Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it'
So two arrows identical except mass have an equal force applied to them.
Newtons second law- (the one I'm most interested in) The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma.
Those arrows with differing mass accellerate at differing speeds, but must have effectively the same force, as the accelleration is relative to mass, and force = mass x accelleration
For every action there is an equal and opposite reaction.
Thinking about these 3 laws says to me that both arrows must carry the same force at the same point when fired from the bow.
Then I think about this.
Law of Falling Bodies:
Two objects that are identical except for their masses are dropped from the same height at the same time. With air resistance set to zero, both balls strike the ground at the same time. As the air resistance is increased, the more massive object will strike the ground first. With enough air resistance the lighter ball is seen to reach a terminal velocity.
If this is the answer, air resistance is higher on the lighter arrow as it is traveling faster, and lighter bodies are affected more by forces than heavier ones.
Finally to my question-
Why is a heavier arrow required to penetrate a thicker hide? Is it a question of air resistance reducing the force of the smaller arrow, or something I have overlooked?
Thank you
BRad
My first post, please go gentle on me as I have a very limited understanding of physics. I do enjoy trying to understand, and hence my question. I hope you can help.
I have just started archery- about to pick up my first bow. For the last few weeks I have been reading archery books and websites including forums to learn as much as I can.
One consistant question I come across is- how heavy should arrows be for a certain task. For example, those into hunting are very particular about using an arrow weighted to a task. The larger the animal they want to hunt, the heavier the arrow. Seems fair enough.
My confusion-
'Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it'
So two arrows identical except mass have an equal force applied to them.
Newtons second law- (the one I'm most interested in) The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma.
Those arrows with differing mass accellerate at differing speeds, but must have effectively the same force, as the accelleration is relative to mass, and force = mass x accelleration
For every action there is an equal and opposite reaction.
Thinking about these 3 laws says to me that both arrows must carry the same force at the same point when fired from the bow.
Then I think about this.
Law of Falling Bodies:
Two objects that are identical except for their masses are dropped from the same height at the same time. With air resistance set to zero, both balls strike the ground at the same time. As the air resistance is increased, the more massive object will strike the ground first. With enough air resistance the lighter ball is seen to reach a terminal velocity.
If this is the answer, air resistance is higher on the lighter arrow as it is traveling faster, and lighter bodies are affected more by forces than heavier ones.
Finally to my question-
Why is a heavier arrow required to penetrate a thicker hide? Is it a question of air resistance reducing the force of the smaller arrow, or something I have overlooked?
Thank you
BRad
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