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

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SUMMARY

A gun of mass M fires a shell of mass m, resulting in horizontal recoil. When the shell travels with speed v relative to the barrel, the recoil speed of the barrel can be calculated using the principle of conservation of momentum. For a horizontal barrel, the recoil speed is given by v_recoil = (m * v) / M. When the barrel is inclined at an angle A, the recoil speed is modified to v_recoil = (m * v) / (M * cos(A)). These equations provide definitive solutions for both scenarios presented in the discussion.

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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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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

 

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