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Four particles, each of mass MMM are equidistant from each other in 3 dimensional space. They each move along a circle of radius R, under the action of their mutual gravitational attraction. The speed of each particle is:
(1)12GMR(1+22)(2)GMR(3)22GMR(4)GMR(1+22) \begin{array} { l l l } & (1) \frac{1}{2} \sqrt{ \frac{GM}{R} ( 1 + 2 \sqrt{2}) } \qquad \qquad & (2) \sqrt{ \frac{ GM } {R} } \\ & (3) \sqrt{ 2 \sqrt{2} \frac{ GM}{R} } & (4) \sqrt{ \frac{GM}{R} ( 1 + 2 \sqrt{2} ) } \\ \end{array} (1)21RGM(1+22)(3)22RGM(2)RGM(4)RGM(1+22)
Choose the number which corresponds to the correct answer.
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