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JAMB Physics 1993 Question 4

Question 4

Scalars and Vectors

Two forces of magnitudes 7N and 3N act at right angles to each other. The angle θ between the resultant and the 7N force is given by

  1. A.cos θ = 3/7
  2. B.sin θ = 3/7
  3. C.tan θ = 3/7
  4. D.cot θ = 3/7
Show the answer and explanation

Answer: C (tan θ = 3/7)

Explanation

Draw the 7 N and 3 N forces as two sides of a right-angled triangle; the resultant is the hypotenuse, and tan θ = opposite/adjacent = 3/7.