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Energy conservation between a mass and a vertical spring (height of drop or rise vs compression)

This type of question, asked 2 times: 10 May 2024 S2, 15 May 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    10 May 2024 S2

    23
    A ball of mass 'mm' is dropped from a height 'ss' on a horizontal platform fixed at the top of a vertical spring. The platform is depressed by a distance 'hh'. The spring constant is (g=g= acceleration due to gravity)

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  2. Question 2

    15 May 2026 S2

    106
    A sphere of mass 5050 gram is placed on a vertical spring. It is compressed by 0.40.4 m using a force 1010 N. When the spring is released the sphere will reach to a height of (g=10 m/s2)(g = 10\,m/s^2)

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