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JAMB Physics 2008 Question 11

Question 11

Work, Energy and Power

If a body of mass 5 kg is thrown vertically upwards with velocity u, at what height will the potential energy equal the kinetic energy?

  1. A.h = u2/g
  2. B.h = u2/4g
  3. C.h = 2u2/g
  4. D.h = u2/2g
Show the answer and explanation

Answer: B (h = u2/4g)

Explanation

Total energy = ½mu2. When PE = KE, each is half the total: mgh = ¼mu2, so h = u2/4g.