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The force acting on a particle makes an angle of $60^{0}$ with the positive x-axis. If the magnitude of the force is 10 N what are its x and y-components ?

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$4 \sqrt{3} N, 5 N$

$5 N, 5 \sqrt{3} N$

$2 \sqrt{3} N, 2 N$

$3 \sqrt{3} N, 3 N$

answer is A.

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Detailed Solution

$Fcos θ = 10 \times \frac{1}{2} = 5; Fsin θ = 10 \times \frac{\sqrt{3}}{2} = 5 \sqrt{3}$ .

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