Physics

Physics

Problem

Two spheres of radius RR and mass MM are placed such that their centers are at (0,0)(0,0) and (4R,0)(4R, 0). Each has a spherical cavity of radius R/4R/4. The first cavity is centered at (−R/2,0)(-R/2, 0) and the second at (4R+R/2,0)(4R + R/2, 0). Find the net gravitational field at the midpoint between the two spheres (x=2Rx = 2R).

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