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Spring compressed by a body dropped or sliding onto it

This type of question, asked 2 times: 14 Jun 2022, 8 Apr 2024. All 2 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    28
    A ball of mass 100 g100\text{ }g is dropped from a height h=h = 10 cm10\text{ }cm on a platform fixed at the top of vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance h2\frac{h}{2}. The spring constant is _____ Nm−1Nm^{- 1}. (Use g=10 ms−2g = 10{\text{ }ms}^{- 2} )

  2. Question 2

    8 Apr 2024

    91
    A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is:

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