Physics

Physics

Problem

While determining the potential energy stored in a spring–mass system executing SHM, the work done in moving the mass from x=0x = 0 to xx is expressed as an integral. Which of the following integrals correctly represents this work (and hence the potential energy)? a) ∫0x−kx′ dx′\displaystyle \int_{0}^{x} -kx'\,dx' b) ∫0xkx′2 dx′\displaystyle \int_{0}^{x} \tfrac{kx'}{2}\,dx' c) ∫0x2kx′ dx′\displaystyle \int_{0}^{x} 2kx'\,dx' d) ∫0xkx′ dx′\displaystyle \int_{0}^{x} kx'\,dx'

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