Solving Gun Shot Question: Average Horizontal Force Applied to Gun

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Discussion Overview

The discussion revolves around a homework problem involving the calculation of the average horizontal force applied to a gun when a bullet is fired. Participants are exploring the application of Newton's laws of motion, particularly focusing on the relationship between mass, acceleration, and force in a mechanical context.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant states that the answer is 8.33 kN but is unsure how to arrive at this conclusion.
  • Another participant suggests that 8330 is half of 50/0.003, implying a potential calculation method.
  • A participant expresses confusion about the problem and seeks clarification on the mechanical setup and the steps to solve it.
  • Newton's second law is referenced, with a focus on the formula F = ma, prompting discussion about how to find acceleration.
  • One participant calculates average acceleration as 500/0.003 and arrives at 166666.667, questioning if this is the correct approach.
  • Another participant corrects the unit conversion, indicating that mass should be in kilograms (0.05 kg) to calculate force in Newtons.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the steps to solve the problem, with various interpretations of the calculations and units involved. There is uncertainty regarding the correct approach to finding average acceleration and subsequently the average force.

Contextual Notes

There are limitations in the clarity of the problem statement and the mechanical setup, which may affect participants' understanding and calculations. Additionally, there are unresolved mathematical steps and unit conversions that contribute to the confusion.

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Homework Statement


A rifle is held rigidly by a supporting test frame. When fired horizontallly, a 50 g bullet attains a muzzle exit velocity of 500 m/s if it takes 0.003 s for the bullet to travel the length of the barrel, determine the average horizontal force applied to the gun by the test frame during firing.



Homework Equations





The Attempt at a Solution



I know that the answer is 8.33 kN but I do not know how to solve it.
I think that we evaluate the forces on the x axis, there are no forces on the y-axis but
i am not sure, any help?
 
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madahmad1 said:
I know that the answer is 8.33 kN

Hint: 8330 is half of 50/.003.
 
lol, so i multiply 50/0.3 by a half? Thanks for the help but can you tell me what steps i should take, i really do not get this problem.
 
F = ma

With what you're given, how can you find the acceleration?

You have the mass, but you have to change it's units so you can get the force in Newtons (N).
 
(i must admit i think it's a badly-worded question, and i don't really understand the mechanical set-up :frown: … but what they obviously want is …)

ok … Newton's second law …
force = mass times acceleration​
so …
average force = mass times average acceleration …​

and average acceleration is … ? :smile:
 
In order to find the average force we need to know the average acceleration,to find the average acceleration we divide 500/0.003, which is velocity divided by time. This comes out to be 166666.667., then we multuply by 50, correct? I`m sorry if i am wrong but I am really trying to answer this based on the help you are giving me, do we find average acceleration by a different method?
 
madahmad1 said:
In order to find the average force we need to know the average acceleration,to find the average acceleration we divide 500/0.003, which is velocity divided by time. This comes out to be 166666.667., then we multuply by 50, correct?

No … 1 N = 1 kg m /s² … so we multiply by 0.05. :smile:
 

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