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A moving block compresses a spring by a given distance when its speed is halved: spring constant

The same question, asked 2 times: 25 Jun 2022*, 28 Jul 2022. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jun 2022

    22
    A 0.5 kg0.5\text{ }kg block moving at a speed of 12 ms−112{\text{ }ms}^{- 1} compresses a spring through a distance 30 cm30\text{ }cm when its speed is halved. The spring constant of the spring will be ____\_\_\_\_ Nm−1Nm^{- 1}.

  2. Question 2

    28 Jul 2022

    29
    A block of mass ' mm ' (as shown in figure) moving with kinetic energy EE compresses a spring through a distance 25 cm25\text{ }cm when, its speed is halved. The value of spring constant of used spring will be nENm−1nENm^{- 1} for n=n =__________