A gun of mass M fires a shell of mass m and recoils horizont

In summary, the problem involves a gun of mass M firing a shell of mass m and recoiling horizontally. The shell travels with speed v relative to the barrel. The problem is to find the speed with which the barrel begins to recoil if: (a) the barrel is horizontal, and (b) the barrel is inclined at an angle A to the horizontal.
  • #1
jpcyiu
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Member advised to use the homework template and to show an attempt at solution!
A gun of mass M fires a shell of mass m and recoils horizontally.
If the shell travels with speed v relative to the barrel,
find the speed with which the barrel begins to recoil if
(a) the barrel is horizontal
(b) the barrel is inclined at an angle A to the horizontal.
 
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  • #2
Hello jpc, welcome to PF :smile: !

If your post wasn't moved here from another forum, you must have seen the homework template flash by. And deleted it by accident. It is very useful however, and even mandatory in these PF forums. So indulge us and complete your post, please.

The problem statement looks OK. Now the remainder:

Homework Statement

Homework Equations

The Attempt at a Solution

 

What is the equation for the momentum of the gun and shell after firing?

The equation for the momentum of the gun and shell after firing is p = (M+m)v, where p is the momentum, M is the mass of the gun, m is the mass of the shell, and v is the velocity.

What is the relationship between the mass of the gun and the recoil velocity?

The relationship between the mass of the gun and the recoil velocity is inverse. This means that as the mass of the gun increases, the recoil velocity decreases. This is because the total momentum of the system remains constant, so an increase in the mass of the gun results in a decrease in the velocity of the recoil.

Why does the gun recoil when fired?

The gun recoils when fired due to the conservation of momentum. When the gun fires the shell, the gun exerts a force on the shell, causing it to accelerate and gain momentum in one direction. In accordance with Newton's Third Law, the gun experiences an equal and opposite force, causing it to also gain momentum in the opposite direction, resulting in recoil.

How does the mass of the shell affect the recoil velocity?

The mass of the shell has a direct relationship with the recoil velocity. This means that as the mass of the shell increases, the recoil velocity also increases. This is because a larger mass will require more force to accelerate, resulting in a higher velocity for the recoil.

What other factors can affect the recoil velocity of a gun?

The recoil velocity of a gun can also be affected by the muzzle velocity of the shell, the length and weight of the gun, and the type of gunpowder used. These factors can all impact the force and momentum exerted on the gun and shell, resulting in a different recoil velocity.

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