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A particle experiences a force of magnitude $100\text{ N}$ pointing at $60^\circ$ south of east.

Treating East as the $+x$ direction, what are the $x$ and $y$-components of the force?

A

$(-86.6 \text{ N}, 50\text{ N})$

B

$(-86.6\text{ N}, -50\text{ N})$

C

$(86.6\text{ N}, -50\text{ N})$

D

$(-50\text{ N}, 86.6\text{ N})$

E

$(50\text{ N}, -86.6\text{ N})$

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