Three equal masses are located on a coordinate grid so that the masses and the origin form a square with side length $\backslash (\backslash$ell $\backslash ),$ as shown in the figure. Find the magnitude and direction of the gravitational field at the origin due to these masses.

Find the magnitude of the gravitational field at the origin due to these masses. $($Use the following as necessary: $\backslash ($ m$,\backslash$ell $\backslash ),$ and $\backslash ($ G $\backslash ).)$

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g$=$

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Find the direction of the gravitational field. $($Give your answer in degrees counterclockwise from the $\backslash (+$x $\backslash )-$axis.$)$

Notice that all the masses are equal. By symmetry, where should the gravitational field vector point? $\backslash (\{\}^\{\backslash$circ$\}\backslash )$ counterclockwise from the $\backslash (+$x $\backslash )-$axis

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