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A force of 5 units acts on a particle in the direction to the east…

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

  • 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