Infinite number of masses

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Infinite number of masses, each of mass

m

, are placed along a straight line at distances

r, 2r, 4r, 8r, \dots

from a reference point

O

. The gravitational field at

O

will be

\frac{x Gm}{3r^2}

. Find

x

.

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