1. Tardigrade
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  3. Physics
  4. A block of mass 1 kg is pressed against a spring of force constant 400 N / m. The spring is compressed by 10 cm and block is released. Which of the following is a possible velocity of the block during subsequent motion?

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Q. A block of mass $1\, kg$ is pressed against a spring of force constant $400\, N / m$. The spring is compressed by $10\, cm$ and block is released. Which of the following is a possible velocity of the block during subsequent motion?Physics Question Image

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Solution:

$\frac{1}{2} m v_{\max }^{2}=\frac{1}{2} k x^{2}$
$v_{\max }=\sqrt{\frac{k}{m}} x=\sqrt{\frac{400}{1}} \times 1=2\, m s ^{-1}$
As the maximum speed is $2\, m / s$, hence the range of speed should be between $0$ and $2\, m / s$.
Hence, options (1) and (2) are correct.