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Potential energy at displacement x + y from the potential energies at x and at y

The same question, asked 2 times: 2 May 2023 S2, 10 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S2

    43
    For a body performing simple harmonic motion, its potential energy is ExE_x at displacement xx and EyE_y at displacement yy from mean position. The potential energy E0E_0 at displacement (x+y)(x+y) is

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  2. Question 2

    10 May 2024 S2

    19
    A body is executing a linear S.H.M. Its potential energies at the displacement 'xx' and 'yy' are 'E1E_1' and 'E2E_2' respectively. Its potential energy at displacement (x+y)(x+y) will be

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