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JAMB Physics 2007 Question 42

Question 42

Scalars and Vectors

The figure above shows 4 forces 3 N, 10N, 3√3 N and 6 N acting on a particle P. The resultant of the four forces is

Diagram for this question
  1. A.10√3 N.
  2. B.10 N.
  3. C.5√3 N.
  4. D.5 N.
Show the answer and explanation

Answer: B (10 N.)

Explanation

Horizontal: 3 + 10 cos 30° − 6 cos 60° = 3 + 8.66 − 3 = 8.66 N. Vertical: 3√3 + 10 sin 30° − 6 sin 60° = 5.20 + 5 − 5.20 = 5 N. Resultant = √(8.662 + 52) = √100 = 10 N.