An isolated object of mass (m) can be split into two parts of masses (m_{1}) and (m_{2}).

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An isolated object of mass \(m\) can be split into two parts of masses \(m_{1}\) and \(m_{2}\). Suppose the centers of these parts are then separated by a distance \(r\). What ratio of masses \(m_{1} / m_{2}\) would produce the largest gravitational force on each part?

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