# Gravitationally Equivalent Point Particle

There are two objects with the same mass $$M$$, situated on the $$x$$-axis.

One is a thin rod with its mass uniformly distributed between $$x = 0$$ and $$x = 1$$.

The other is a point particle at $$x = 2$$.

If we wanted to replace the rod with a point particle of mass $$M$$ which would exert the same gravitational force on the point particle at $$x = 2$$, what should its $$x$$-coordinate be (to 3 decimal places)?

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