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Displacement of a spring-mass system at a given velocity

The same question, asked 2 times: 26 Apr 2025 S1*, 13 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    26 Apr 2025 S1

    13
    A spring executes S.H.M. with mass 1 kg attached to it. The force constant of the spring is 4 N/m4\,\text{N/m}. If at any instant its velocity is 20 cm/s20\,\text{cm/s}, the displacement at that instant is (Amplitude of S.H.M. is 0.4 m )

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  2. Question 2

    13 Apr 2026 S1

    119
    A spring executes S.H.M. with mass 10 kg attached to it. The force constant of spring is 10 N/m. If at any instant its velocity is 40 cm/s, the displacement at that instant is (Amplitude of S.H.M. is 0.5 m)

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