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A force of 5 units acts on a particle in the direction to the east and another force of ...

A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is
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  • A \(\sqrt{3}\) units
  • B 3 units
  • C \(\sqrt{41 + 20 \sqrt{2}}\) units
  • D \(\sqrt{41 - 20 \sqrt{2}}\) units
Correct Answer: Option C
Explanation:
Force to the east = 5 units
force to the North - east = 4 units.
Resultant of the two forces is the square root
52 + 42 = 41 and plus the sum of its resistance
5 x 4\(\sqrt{2}\) = 20\(\sqrt{2}\)
= \(\sqrt{41 + 20 \sqrt{2}}\) units

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