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# The gravitational field in a region is given by $\;\overrightarrow{g}=5\;N/kg\;\hat{i}+12\;N/kg\;\hat{j}\;$.The change in the gravitational potential energy of the particle of mass 2 kg when it is taken from the origin to a point (7m ,-3m) is :

$(a)\;71\;J\qquad(b)\;13\sqrt{58}\;J\qquad(c)\;-71\;J\qquad(d)\;1\;J$