Conservation of motion what the velocity of other fragment

AI Thread Summary
The discussion revolves around a physics problem involving the conservation of momentum after a shell explodes into two equal mass fragments. One fragment moves vertically upward with speed V0, and the task is to determine the velocity of the other fragment. Participants suggest using the momentum conservation equation to solve for the unknown velocity, applying it separately in the x and y directions. The solution indicates that the other fragment moves at a speed of (5)^1/2 V0 at an angle of 26.6 degrees northeast. This approach effectively demonstrates the application of conservation laws in analyzing the motion of fragments post-explosion.
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Homework Statement


A shell traveling with speed Vo exactly horizontally and due north explodes into 2 equal mass fragments. One fragment traveling vartically up with speed V0 what is the velocity of the other one?


Homework Equations



v=(m1*v1+m2*v2)/ m1+m2

The Attempt at a Solution


Would I just use this equation and just solve for V2? This is the only formula in the book section that looks like I could use to solve it. But not sure cause this formula is for 2 separate objects that hit each other then moves as a single object, thinking maybe i can make it as a single object that then breaks into 2 objects.
 
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Let the other fragment move at an angle (theta) to the horizontal.
Apply momentum conservation in x and y directions.
Solve 2 equations and you will get your answer
I got v=(5)^1/2 V0 at an angle 26.6 degrees N-E
 
k thxs ill try it out
 
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