Two forces 100N and 60N act on an object of mass 10kg as illustrated in...

WAEC 2017

Two forces 100N and 60N act on an object of mass 10kg as illustrated in the diagram above. Neglecting friction, calculate the acceleration of the object.

A. 4.0\(ms^{-2}\)
B. 13.4\(ms^{-2}\)
C. 16.0\(ms^{-2}\)
D. 22.6\(ms^{-2}\)

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Correct Answer: Option B

Explanation

Resolving 100N into horizontal and vertical

100 sin45 = 0.7071 * 100 = 70.71

100cos45 = 70.71

Vertical forces = 100 - 70.71 → 29.29

Horizontal force = 70.71 + 60 → 130.71

Resultant of vertical and horizontal forces using pythagoras thoerem

Resultant force (F) = m * a

a = F/m → 133.9/10

a = 13.4

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