A uniform ring of mass (m_{text {ring }}) and radius (R_{text {ting }}) is shown in Figure

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A uniform ring of mass \(m_{\text {ring }}\) and radius \(R_{\text {ting }}\) is shown in Figure P13.69. A small object of mass \(m_{\mathrm{obi}}\) sits a separation distance \(s\) from the ring on the line that is perpendicular to the plane of the ring and passes through the ring's center. Obtain an expression (in terms of the given variables and universal constants) for the magnitude of the gravitational force exerted by the ring on the object.

Data from Figure P13.69

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