Solving Force of 17g Bullet Accelerated in Rifle Barrel

In summary, a 17 g bullet is accelerated in a rifle barrel measuring 103 cm long to a speed of 392 m/s. Using the work-energy theorem, the average force exerted on the bullet while it is being accelerated can be found by using the formula Wnet= 1/2mv^2(final)-1/2mv^2(initial) and the definition of work as a function of force and displacement. The answer should be in units of N.
  • #1
xlogit3k
7
0

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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  • #2
xlogit3k said:
No idea how to start this problem
Why not start with the work-energy theorem?
 
  • #3
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
 
  • #4
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).
 
  • #5
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
 
  • #6
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.
 

1. What is the force of a 17g bullet when accelerated in a rifle barrel?

The force of a 17g bullet when accelerated in a rifle barrel is dependent on several factors, including the type of rifle and ammunition used, as well as the length and diameter of the barrel. In general, the force will be greater at the beginning of the acceleration and decrease as the bullet travels through the barrel.

2. How is the force of a bullet calculated?

The force of a bullet can be calculated using the formula F = ma, where F is the force, m is the mass of the bullet, and a is the acceleration. In this case, the acceleration is the rate at which the bullet's velocity increases as it travels through the barrel.

3. What is the significance of the force of a bullet in a rifle barrel?

The force of a bullet in a rifle barrel is significant because it determines the velocity and energy of the bullet when it exits the barrel. A higher force will result in a faster bullet and greater potential for damage upon impact.

4. How does the force of a bullet affect accuracy?

The force of a bullet can affect accuracy in several ways. A higher force can cause more recoil, which may impact the shooter's aim. Additionally, if the force is not consistent, it can lead to variations in the trajectory of the bullet, resulting in decreased accuracy.

5. How can the force of a bullet be increased?

The force of a bullet can be increased by using a more powerful rifle or ammunition, as well as by increasing the length and/or diameter of the barrel. However, it is important to note that increasing the force may also result in increased recoil and potential for damage to the rifle or shooter.

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