Newtons law of universal gravitation:
R = (a2 + x2)(1/2)
An object in the shape of a thin ring has radius a and mass M. A uniform sphere with mass m and radius R is placed with its center at a distance x to the right of the center of the ring, along a line through the center of the ring, and perpendicular to its plane (Figure 1).
What is the gravitational force that the sphere exerts on the ring-shaped object?
Express your answer in terms of the variables a, M, m, R, x, and appropriate constants.
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