Can somebody please solve this step by step in simpleterms. Thanks Particle A an

Question

Can somebody please solve this step by step in simpleterms. Thanks Particle A and particle B are held togetherwith a compressed spring between them. When they are released, thespring pushes them apart, and they then fly off in oppositedirections, free of the spring. The mass of A is3.00 times the mass of B, andthe energy stored in the spring was 110 J. Assume that the spring has negligible massand that all its stored energy is transferred to the particles.Once that transfer is complete, what are the kinetic energies ofeach particle?
1 J (particle A)
2 J (particle B)
Can somebody please solve this step by step in simpleterms. Thanks Particle A and particle B are held togetherwith a compressed spring between them. When they are released, thespring pushes them apart, and they then fly off in oppositedirections, free of the spring. The mass of A is3.00 times the mass of B, andthe energy stored in the spring was 110 J. Assume that the spring has negligible massand that all its stored energy is transferred to the particles.Once that transfer is complete, what are the kinetic energies ofeach particle?
1 J (particle A)
2 J (particle B)

Explanation / Answer

mass of B = m, mass of A = 3m total energy = E = 110 J momentum of A = pA, momentum of B = pB, momentum conservation: 0 = pA + pB, sopB = -pA energy conservation: EA + EB = E note mv2/2 = (mv)2/(2m) =p2/(2m) so EA = pA2/(2*3m) =pA2/(6m) EB = pB2/(2m) =pA2/(2m) = 3EA then EA + 3EA = E EA = E/4 = 27.5 J EB = 82.5 J

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