Four masses, which are called: $m_1=5\ kg$, $m_2=4\ kg$, $m_3=3\ kg$, and $m_4=6\ kg$, are positioned at the corners of a rectangle as shown below. Determine what the $x$ and $y$ components of the gravitational force exerted on mass $m_1$ due to the other three masses will be. Express the force in vector notation using $\hat{i}$ and $\hat{j}$.

• A. $2.86\times 10^{-10}\ N\ \hat{i}+3.76\times 10^{-10}\ N\ \hat{j}$
• B. $3.76\times 10^{-10}\ N\ \hat{i}+2.86\times 10^{-10}\ N\ \hat{j}$
• C. $5.73\times 10^{-10}\ N\ \hat{i}+7.52\times 10^{-10}\ N\ \hat{j}$
• D. $7.52\times 10^{-10}\ N\ \hat{i}+5.73\times 10^{-10}\ N\ \hat{j}$

Answer: (B)