Gravitational force due to a mass The gravitational force on a point mass m due to a point mass M at the origin is a gradient field with potential
a. Find the components of the gravitational force in the x-,y-, and z-directions, where F(x, y, z) = –▿U(x, y z).
b. Show that the gravitational force points in the radial direction (outward from point mass M) and the radial component is
c. Show that the
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