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WAEC Further Mathematics 2010 Question 30

Question 30

Dynamics

Two forces (2i − 5j)N and (−3i + 4j)N act on a body of mass 5kg. Find, in ms−2, the magnitude of the acceleration of the body.

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

Answer: A (√2/5)

Explanation

Resultant = (2 − 3)i + (−5 + 4)j = −i − j, of size √2 N. a = F/m = √2/5 ms−2.