he gravitational force on a point mass m due to a point mass M at the origin is

Question

he gravitational force on a point mass m due to a point mass M at the origin is a gradient field with potential U(r)= (GMm)/r , where G is the gravitational constant and r = (x^2 + y^2 + x^2)^(1/2) is the distance between the masses a. Find the components of the gravitational force in the x-, y-, and z-directions, where F(x,y,z) = -gradientU(x,y,z) b. show that the gravitational force points in the radial direction (outward from point mass M) and the radial component is F(r) = (GMm)/(r^2) c. show that the vector field is orthogonal to the equipotential surfaces at all points in the domain of U

Explanation / Answer

follow the link it explains with figure abut the problem in detail http://arachnoid.com/gravitation_equations/index.html pls rate

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