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Two forces of 10 N and 18 N are pulling an object towards east and another 26 N force was towards west was acting on same object. Calculate the direction and resultant force :

  • A.54 N-West
  • B.12 N-West
  • C.24 N-East
  • D.2 N-East

Answer: D

The resultant is 2 N towards the east.

Forces along the same line add with their signs. Taking east as positive:

\[ \begin{aligned} F &= 10 + 18 - 26 \\ &= 28 - 26 = +2\ \text{N} \end{aligned} \]

The positive sign means the resultant acts towards the east.

54 N is what you get by adding all three magnitudes as if they acted in the same direction. 12 N and 24 N do not follow from any correct combination of the three forces.

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