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Five objects, each of mass M, are equally spaced on the arc of a semicircle of radius R as shown in the figure below(see problem 64 in text for figure). An object of mass m is located at the center of curvature of the arc.

(a) If M is 3.0 kg, m is 2.2 kg, and R is 9.0 cm, what is the gravitational force on the particle of mass m due to the five objects? Choose right to be the +x direction and up to be the +y direction.

(b) If the object whose mass is m is removed, what is the gravitational field at the center of curvature of the arc? Again, choose right to be the +x direction and up to be the +y direction.

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