what is the appropriate process to solve it.
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GMm / R^2 = m V^2 / R
V^2 = GM / R 1/2 m V2 = 1/2 GMm / R initial KE
Initial PE = -GMm / R
Initial total energy Et = -GMm / (2 R) = KE + PE
Et1 = -GM(m/2) / (2 * 3/2 R) = -GMm / (6R)
Et2 = -GM(m/2) / (2 * R/2) = -GMm / (2R)
Total energy after split = -2/3 GMm / R
Final - Initial = -2/3 GMm / ( R) + GMm / (2)R = -GMm / (6R)
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