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A long thin rod of mass M and length L is situated along the y axis...

A long thin rod of mass M and length L is situated along the y axis with one end at the origin. A small spherical mass m1 is placed at the location P, which is at a distance d from the origin.

If L = 2.00 ? 104 m, d = 18.0 ? 104 m,M = 14.0 ? 106 kg,and m1 = 8.00 ? 106 kg,what is the value of this potential energy?

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Answer #1

Gravitational potential energy between two body is given by

Since the mass are distributed so we have to use integration method to find the total potential energy

mass per unit length of the rod is

lets take a small mass "dm" at a distance "r' from the point P so

So the value of potential energy is -4.401*10^-2 J or -0.04401 J

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