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: 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
