Conservation of momentum and kinematics - exploding artillery shell

AI Thread Summary
The discussion centers on a physics problem involving the conservation of momentum and kinematics related to an exploding artillery shell. The shell, launched at a specific angle and speed, splits into two pieces after 5 seconds, with one piece landing at a defined location. Participants emphasize the need to apply the momentum conservation equation and kinematic equations to solve for the second piece's landing time and position. The conversation highlights the importance of breaking down the motion into x and y components to analyze the problem effectively. Ultimately, the goal is to determine the landing point of the second piece using the provided data and equations.
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Homework Statement



An artillery shell of mass 10 kg is launched due east at 3,000 ft/sec at an angle of 30 degrees above the horizontal. It explodes 5 seconds later, and splits into 2 pieces - one of mass m1 3 kg and the other m2 of mass 7 kg. Neglect air resistance. The 3 kg piece lands 4 seconds after the explosion at a point 20,000 ft. east and 3,000 ft north of the launch point. When and where does the second piece land?

Homework Equations



mv=m1v1 + m2v2
x=x0+v0T+.5at^2

The Attempt at a Solution



I'm pretty sure these are the equations you are supposed to use, but I don't know where to go from there. I need to split it up into the x,y, and z components, right? then what?
 
Physics news on Phys.org
Try it. After you split everything into x,y,z components, how many pieces of your two equations do you already know?
 

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