(Solution) - Energy Sharing an object with mass in initially -(2025 Original AI-Free Solution)

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Energy Sharing an object with mass in initially at rest, explodes into two fragments, one with mass mA and the other with mass mB' where mA + mB = m.
(a) If energy Q is released in the explosion, how much kinetic energy does each fragment have immediately after the collision?
(b) What percentage of the total energy released does each fragment get when one fragment has four times the mass of the other?