Arrow hitting a target average force question

AI Thread Summary
An 8.0×10−2 kg arrow strikes a target at 25 m/s and penetrates 3.8 cm before stopping, prompting a calculation of the average force exerted by the target on the arrow. The initial attempt to calculate the force using weight (0.784 N) is noted but deemed insufficient for the problem. The discussion emphasizes the need to consider horizontal forces and the impact of drag resistance. Participants suggest using kinematic equations to determine acceleration and subsequently apply Newton's second law (F = ma) to find the average force. The conversation highlights the importance of understanding the relationship between distance, speed, and force in this context.
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Homework Statement



A 8.0×10−2 kg arrow hits the target at 25 m/s and penetrates 3.8 cm before stopping.

Homework Equations



What average force did the target exert on the arrow?

What average force did the arrow exert on the target?

The Attempt at a Solution



I found the force the arrow's exerting before it hits the target I think...
(8*10^-2kg)*(9.8m/s^2)= 0.784N

I don't know where to go from here though.
 
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Sammy if you are reading this, correct me if I am wrong lol.

If it is already in the air and it is hitting something, it kinda means there is a drag force (resistance force) negating gravity.

So you are only concern with the horizontal force.

You have distance and speed, you can find the acceleration.
 
I only have the distance the arrow goes when it hits the target, I don't know how to apply it, I'm sorry.
 
v^2 = v_0 ^2 + 2a\Delta x
 
And how do I use this to find the force?
 
F = ma
 
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