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JAMB Physics 2004 Question 18

Question 18

Scalars and Vectors

The diagram above shows forces 4N, 6N, 10N and 8N which act at a point O in the directions indicated. The net horizontal force is

Diagram for this question
  1. A.7√3 N
  2. B.17N
  3. C.√3N
  4. D.13N
Show the answer and explanation

Answer: D (13N)

Explanation

The 8 N and 6 N forces each make 60° with the horizontal, so their horizontal parts are 8 cos 60° = 4 N and 6 cos 60° = 3 N. Net = 10 + 4 + 3 − 4 = 13 N.