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Gravitational Forces in 2D

Gravitational Forces in 2D

8. Centripetal Forces & Gravitation / Gravitational Forces in 2D / Problem 2

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 $\hat{j}$ .

ANSWERS OPTIONS

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

$7.52\times 10^{-10}\ N\ \hat{i}+5.73\times 10^{-10}\ N\ \hat{j}$

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