Solving Force of 17g Bullet Accelerated in Rifle Barrel

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AI Thread Summary
To solve for the average force exerted on a 17 g bullet accelerated to 392 m/s in a 103 cm rifle barrel, the work-energy theorem is applied. The equation Wnet = 1/2 mv^2(final) - 1/2 mv^2(initial) is used, with the initial velocity at 0 m/s. The work done is defined as force multiplied by distance, which is crucial for calculating the average force. By substituting the known values into the equations, the problem can be solved. Understanding the relationship between work, force, and displacement is key to finding the solution.
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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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