JAMB Physics 2009 Question 15

Question 15

Elasticity

The diagram above represents the graph of the force (F) applied in stretching a spiral spring against the corresponding extension(X). The force constant of the spring is

Diagram for this question
  1. A.20 Nm−1.
  2. B.40 Nm−1.
  3. C.30 Nm−1.
  4. D.10 Nm−1.
Show the answer and explanation

Answer: A (20 Nm−1.)

Explanation

The force constant is the slope of the F–X graph. The line reaches F = 120 at X = 6, so k = 120 ÷ 6 = 20 N m−1 (for example 40 at 2).