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The energy stored in a spring of stiffness constant k = 2000\(Nm^{-1}\) when extended 4cm...

Physics
WAEC 2017

The energy stored in a spring of stiffness constant k = 2000\(Nm^{-1}\) when extended 4cm is

  • A. 0.16J
  • B. 1.60J
  • C. 16.00J
  • D. 160.00J
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Correct Answer: Option B
Explanation

The spring constant = the measure of stiffness = 2000\(Nm^{-1}\)

Energy stored in a spring = Work done to stretch it through a distance = change in potential energy

= \(\frac{kx^{2}}{2}\) = \(\frac{2000 \times (0.04)^{2}}{2}\) (converting 4cm to metres)

= \(\frac{3.2}{2} = 1.60J\)


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