Ballistics -- How deep does the bullet penetrate into the wood?

AI Thread Summary
The discussion focuses on calculating the penetration distance of a bullet into wood using the formula d = mv² / 2C, with given values for mass, velocity, and frictional force. The initial calculation resulted in a value of approximately 0.0926, which was incorrectly reported as 0.093 with two significant figures. Participants pointed out that the answer might need to be expressed in centimeters rather than meters, leading to the realization that the correct answer was indeed in cm. This clarification resolved the confusion regarding significant figures versus decimal places. The thread emphasizes the importance of unit conversion in physics calculations.
duchuy
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Homework Statement
How deep in a tree would a mass m firearm projectile penetrate at velocity v0 if the frictional force between the projectile and the wood is C ?
Relevant Equations
d = mv^2 / 2C
Hi, I was given this exercice where I have to calculate the penetration distance, knowing that m = 20g, v = 300km/h and C = 750 N and I have to give the results with two significant numbers. I really thought that all I had to do was replace the values so I did :
d = (20.10^-3) x (300/3,6)^2 / 2x750 and I ended up with d = 0,0925925925...
But when I entered the answer with two significant figures = 0,093, the answer was wrong.
Please help me find me find my mistake thank you so much!
Sorry if i have misused any term, I translated this from french.
 
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duchuy said:
Homework Statement:: How deep in a tree would a mass m firearm projectile penetrate at velocity v0 if the frictional force between the projectile and the wood is C ?
Relevant Equations:: d = mv^2 / 2C

Hi, I was given this exercice where I have to calculate the penetration distance, knowing that m = 20g, v = 300km/h and C = 750 N and I have to give the results with two significant numbers. I really thought that all I had to do was replace the values so I did :
d = (20.10^-3) x (300/3,6)^2 / 2x750 and I ended up with d = 0,0925925925...
But when I entered the answer with two significant figures = 0,093, the answer was wrong.
Please help me find me find my mistake thank you so much!
Sorry if i have misused any term, I translated this from french.
It looks right. It might be two decimal places, rather than two significant figures. Or, the answer in cm?
 
oh my god the answer is actually in cm, thank you so much! how'd you figure that out...?
 
duchuy said:
oh my god the answer is actually in cm, thank you so much! how'd you figure that out...?
I'm clever with things like that!
 
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