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(A) The gravitational potential energy $U$ of a system of two masses $m_1$ and $m_2$ separated by a distance $r$ is given by $U = -\frac{G m_1 m_2}{r}

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Zero

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(A) The gravitational potential energy $U$ of a system of two masses $m_1$ and $m_2$ separated by a distance $r$ is given by $U = -\frac{G m_1 m_2}{r}$.As the distance $r$ between the masses approaches infinity $(r 	o \infty)$,the potential energy $U$ approaches zero $(U 	o 0)$.Since the masses are at an infinite distance,their kinetic energy $K$ is also zero (assuming they are at rest relative to each other).The total energy $E$ of the system is the sum of kinetic energy and potential energy: $E = K + U$.Therefore,$E = 0 + 0 = 0$.Thus,the total energy at an infinite distance is zero.

What is the total energy of a system of two masses at an infinite distance from each other?

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