The [[183_notes:energy_cons|Energy Principle tells you that the energy of this system is conserved]]. Moreover, you know from the final state where r→∞ and v→0 that both the final potential and final kinetic energies are zero. Hence, the total energy of the system must be zero.
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The [[183_notes:energy_cons|Energy Principle tells you that the energy of this system is conserved]]. __Moreover, you know from the final state where r→∞ and v→0 that both the final potential and final kinetic energies are zero. Hence, the total energy of the system must be zero.__