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The gravitational potential in a region is given by \( V=20 \mathrm{~N} \mathrm{~kg}^{-1}(x+y) \). (a) Show that the equation is
\( \mathrm{P} \) dimensionally correct. (b) Find the gravitational field at

W the point \( (x, y) \). Leave your answer in terms of the unit vectors \( \overrightarrow{i,} \overrightarrow{j,} \vec{k} \). (c) Calculate the magnitude of the gravitational force on a particle of mass \( 500 \mathrm{~g} \) placed at the origin.
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