A 10.0 kg shell is traveling in the positive x-direction at 25.0 m.s-1 relative to the ground when it explodes into two fragments, one of mass 3.00 kg and the other of mass 7.00 kg. The lighter fragment continues to move in the positive x-direction, and after the explosion the fragments have a total mechanical energy of 5702 J. Find the magnitude and direction of the velocity of the heavier fragment relative to the ground just after the explosion.

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A 10.0 kg shell is traveling in the positive x-direction at 25.0 m.s-1 relative to the ground when it explodes into two fragments, one of mass 3.00 kg and the other of mass 7.00 kg. The lighter fragment continues to move in the positive x-direction, and after the explosion the fragments have a total mechanical energy of 5702 J. Find the magnitude and direction of the velocity of the heavier fragment relative to the ground just after the explosion. 

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