Speed of an arrow when given force, weight, distance

In summary, the formula for calculating the speed of an arrow is: Speed = (Force x Distance) / Weight. The weight of an arrow directly affects its speed, with a heavier arrow requiring more force and resulting in a slower speed. The distance the arrow travels also plays a role, with longer distances allowing for more acceleration and a higher speed. The force used to launch the arrow greatly impacts its speed, with greater force resulting in higher acceleration and speed. There is no one ideal weight, force, or distance for achieving maximum speed of an arrow, as it depends on various factors such as the type of bow and arrow, strength of the archer, and desired distance of the shot.
  • #1
joe426
44
0

Homework Statement



EmIga.png


Homework Equations



Wnet = ΔKE
F = ma

The Attempt at a Solution



I don't know how to break this information down into finding a velocity using these equations
 
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  • #2
the string is doing work on the arrow. Your first equation is all you need for this problem.
 
  • #3
You'd need both those equations and a kinematic equation - but what you really want would be the relationship between work and force and distance.
 

1. What is the formula for calculating the speed of an arrow?

The formula for calculating the speed of an arrow is: Speed = (Force x Distance) / Weight

2. How does the weight of an arrow affect its speed?

The weight of an arrow directly affects its speed. A heavier arrow requires more force to travel the same distance as a lighter arrow, resulting in a slower speed.

3. What role does the distance the arrow travels play in its speed?

The distance the arrow travels also plays a significant role in its speed. The longer the distance, the more time the arrow has to accelerate, resulting in a higher speed.

4. Can the force used to launch the arrow impact its speed?

Yes, the force used to launch the arrow can greatly impact its speed. The more force applied, the greater the acceleration and resulting speed of the arrow.

5. Is there an ideal weight, force, or distance for achieving maximum speed of an arrow?

There is no one ideal weight, force, or distance for achieving maximum speed of an arrow. It depends on various factors such as the type of bow and arrow, the strength of the archer, and the desired distance of the shot.

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