Solving Force of 17g Bullet Accelerated in Rifle Barrel

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SUMMARY

The discussion focuses on calculating the average force exerted on a 17 g bullet accelerated to a speed of 392 m/s within a 103 cm rifle barrel using the work-energy theorem. The key equation utilized is Wnet = 1/2 mv^2(final) - 1/2 mv^2(initial), where the initial velocity is 0 m/s. Participants emphasize the importance of understanding that work is defined as the product of force and displacement, leading to the conclusion that the average force can be derived from the work done over the distance of the barrel.

PREREQUISITES
  • Understanding of the work-energy theorem
  • Basic knowledge of kinematics
  • Familiarity with Newton's laws of motion
  • Ability to perform calculations involving force, mass, and acceleration
NEXT STEPS
  • Calculate the average force using the derived formula: F = W/d
  • Explore the implications of different bullet masses on force calculations
  • Study the effects of barrel length on bullet acceleration
  • Investigate real-world applications of the work-energy theorem in ballistics
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of mechanics and ballistics, particularly in relation to the work-energy theorem and force calculations.

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Homework Statement



A 17 g bullet is accelerated in a rifle barrel
103 cm long to a speed of 392 m/s.
Use the work-energy theorem to find the
average force exerted on the bullet while it is
being accelerated.
Answer in units of N.


Homework Equations





The Attempt at a Solution


No idea how to start this problem
 
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xlogit3k said:
No idea how to start this problem
Why not start with the work-energy theorem?
 
collinsmark said:
Why not start with the work-energy theorem?

Wnet= 1/2mv^2(final)-1/2mv^2(initial)

i don't know what numbers to put in
 
xlogit3k said:
Wnet= 1/2mv^2(final)-1/2mv^2(initial)

i don't know what numbers to put in
Well, you know the initial velocity is 0 and the final velocity is 392 m/s.

But there is also something else you'll need. What is the very definition of work? (Hint: it's a function of force and displacement).
 
collinsmark said:
Well, you know the initial velocity is 0 and the final velocity is 392 m/s.

But there is also something else you'll need. What is the very definition of work? (Hint: it's a function of force and displacement).

force x distance
 
xlogit3k said:
force x distance
That's right! (Well, technically it's the dot product of force and displacement). Now you should have enough to solve the problem.
 

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