Two forces 100N and 60N act on an object of mass 10kg as illustrated in...
PHYSICS
WAEC 2017
Two forces 100N and 60N act on an object of mass 10kg as illustrated in the diagram below. 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\(ms^{-2}\)
Correct Answer: B. 13.4\(ms^{-2}\)
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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