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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 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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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709