What is the accelerating force of a bullet in a 10cm gun barrel?

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SUMMARY

The discussion centers on calculating the accelerating force of a 10g bullet that reaches a velocity of 500m/s within a 10cm gun barrel. The correct approach involves using the equations F=ma and v²=vo²+2a(x-xo) to derive the acceleration and subsequently the force. Participants emphasized the importance of converting mass to kilograms and length to meters to ensure accurate calculations. The final solution confirms that attention to unit conversion is crucial for obtaining the correct answer.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Familiarity with kinematic equations, specifically v²=vo²+2a(x-xo)
  • Basic knowledge of unit conversion (grams to kilograms, centimeters to meters)
  • Ability to perform algebraic rearrangements to solve for unknowns
NEXT STEPS
  • Study the principles of Newton's laws of motion
  • Learn about kinematic equations in detail
  • Practice unit conversion techniques in physics problems
  • Explore examples of force calculations in projectile motion
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of projectile motion and force calculations in mechanics.

Gradyjenkinz
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Homework Statement

[/B]A 10g bullet accelerates from rest to 500m/s in a gun barrel of length 10cm. Find the accelerating force (assuming it is constant).

Homework Equations


F=ma, v^2=vo^2+2a(x-xo)?

The Attempt at a Solution


I tried using F=ma, but it does not equal the answer in the back of the book.
 
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Have you converted the mass and length into kg and m? Then rearrange v2=vo2+2ax to find a. Then sub that into F=ma.
 
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Issy04 said:
Have you converted the mass and length into kg and m? Then rearrange v2=vo2+2ax to find a. Then sub that into F=ma.
Oh jeez. Got it now, thank you. Gotta make sure I actually pay attention to units :(
 
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