Infinitely many bodies, each of mass 2 kg, are placed at distances 1 m, 2 m, 4 m, 8 m, .. from the origin on the x-axis. What is their combined gravitational potential at the origin?
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Infinitely many bodies, each of mass 2 kg, are placed at distances 1 m, 2 m, 4 m, 8 m, .. from the origin on the x-axis. What is their combined gravitational potential at the origin?

G1 Physics · Accepted Answer

Step 1: Potential contributions add as scalars: V=−ΣGm/r=−2G(1+1/2+1/4+...). Step 2: Geometric sum is 2, so V=−2G×2=−4G. Final answer: D — −4G.