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WAEC Further Mathematics 2011 Question 33

Question 33

Statics

Two forces 10N and 15N act on an object at an angle of 120° to each other. Find the magnitude of the resultant force.

  1. A.5√5
  2. B.5√7
  3. C.7√5
  4. D.7√7
Show the answer and explanation

Answer: B (5√7)

Explanation

R2 = 102 + 152 + 2(10)(15)cos 120° = 100 + 225 − 150 = 175, so R = √175 = 5√7 N.