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A force of 5 units acts on a particle in the direction to th...

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 is C

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