Newton's 3rd law question -- A gun firing a bullet

In summary, the problem discusses the forces between a gun and a bullet. The force from the gun to the bullet is 250N towards the left. According to Newton's 3rd law, the force from the bullet to the gun is equal and opposite to the force from the gun to the bullet. This may seem counterintuitive, but it is what happens in reality. The interaction between the gun and bullet involves the gas mixture produced by the ignited gunpowder, but for the purpose of solving the problem, we can ignore these details.
  • #1
samcoelho
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Homework Statement
A 10.0 kg gun applies a force of 250 N left on a 0.0200 kg bullet. What is the force on the gun?
Relevant Equations
F=ma
I'm confused by which forces should be equal to each other and what I solve for. How should I approach this problem?
 
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  • #2
well the data of the problem (we can ignore the given masses for the purpose of answering the question posed by the problem) can be summarized as follows:

The force from the gun to the bullet is equal to 250N and towards the left.

Using Newton's 3rd law you should be able to complete the following sentence
The force from the bullet to the gun is equal to ... and towards the ...
 
  • #3
You basically have two bodies (the gun and the bullet) which interact. The gun applies a force to the bullet, hence by Newtons 3rd law, the bullet applies an equal and opposite force to the gun.

I know it might seem counter intuitive to you that the tiny bullet applies a force to the gun, but that is what Newton's 3rd law tell us and this is pretty much what is happening in reality if we omit some details (the details are that the gun and the bullet interact through the gas mixture produced by the ignited gunpowder which has a Pressure and a Temperature, but we can omit these details for now).
 
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1. What is Newton's 3rd law?

Newton's 3rd law states that for every action, there is an equal and opposite reaction. This means that when an object exerts a force on another object, the second object will exert an equal and opposite force back on the first object.

2. How does this law apply to a gun firing a bullet?

When a gun is fired, the gunpowder inside the bullet explodes, creating a force that pushes the bullet out of the barrel. This is the action. The bullet then exerts an equal and opposite force on the gun, causing it to recoil or kickback. This is the reaction.

3. Why does the bullet move forward if there is an equal and opposite force pushing it back?

The bullet moves forward because the force of the explosion is greater than the force of the gun's recoil. This is due to the difference in mass between the bullet and the gun. The bullet has less mass, so it accelerates faster and moves forward.

4. Does this law only apply to guns and bullets?

No, Newton's 3rd law applies to all interactions between objects. For example, when you walk, your feet push against the ground (action), and the ground pushes back with an equal and opposite force, propelling you forward (reaction).

5. Can this law be violated?

No, Newton's 3rd law is a fundamental principle of physics and has been proven to be true in countless experiments. It is a fundamental concept that governs the motion of all objects in the universe.

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