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IVIYNUIES

At some point during their orbit, the location of the Earth and Moon relative to the Sun will be as shown in the figure below, with the Moon at the origin of the coordinate system, vec$(r{)}_E=(-3\mathrm{.}84{10}^{8}j)m$ and vec$(r{)}_S=(-1\mathrm{.}50{10}^{11}(hat(i)))m.$ The mass of the Moon is $7\mathrm{.}35{10}^{22}kg,$ the Earth has a mass $5\mathrm{.}97{10}^{24}kg,$ and the Sun has a mass $2\mathrm{.}00{10}^{30}kg.$ What is the force experienced by the Moon due to the Sun and the Earth? Express your answer in vector form.

vec$(F{)}_{\text{n}\text{e}\text{t}}=$

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