Solving the Stopping Force of an Arrow Shot into Hay

askthefool · Mar 9, 2005

An arrow of mass 20 grams is shot horizontally into a bale of hay with a velocity of 60 m/s. It penetrates a debpt of 20 CM before stopping.

What is the average stopping force acting on the arrow?

I've been doing

W = -F*D
W = -(ma)*d

I'm finding a by using a kinematic equation, v (final ) ^2 = v (initial ) ^ 2 + 2 a (delta) x.

The answer I'm getting is 360 N, but that is not the correct answer. Any ideas?

askthefool · Mar 9, 2005

I'm an idiot. Never mind. I misread to work done by the stopping force. 180 is the right answer for those that care. There is no need for work at all, just a simple F = ma problem.

Locrian · Mar 9, 2005

If misreading the question makes one an idiot, I'm an idiot many times over for trasngressions as an undergrad :(

Solving the Stopping Force of an Arrow Shot into Hay

1. How do you determine the stopping force of an arrow shot into hay?

2. What factors can affect the stopping force of an arrow shot into hay?

3. How can the stopping force of an arrow shot into hay be used in practical applications?

4. Can the stopping force of an arrow shot into hay be compared to other materials?

5. Are there any safety precautions to consider when testing the stopping force of an arrow shot into hay?

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