An elastic string of unstretched length L and force constant k is stretched by a small…

Physics · JEE Main · NTA ExamsWork, Energy and Power

An elastic string of unstretched length L and force constant k is stretched by a small length x. It is further stretched by another small length y. The work done in the second stretching is
  1. \(\frac{1}{2} k y^{2}\)
  2. \(\frac{1}{2} k\left(x^{2}+y^{2}\right)\)
  3. \(\frac{1}{2} k y(2 x+y)\)
  4. \(\frac{1}{2} k(x+y)^{2}\)

Answer

(C) 1 2 k y(2 x+y)

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