One end of a massless spring of spring constant \( 100 \mathrm{~N} / \mathrm{m} \) and natural l...

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One end of a massless spring of spring constant \( 100 \mathrm{~N} / \mathrm{m} \) and natural length \( 0.5 \mathrm{~m} \) is fixed and the other end is connected to a particle of mass \( 0.5 \mathrm{~kg} \) lying on a frictionless horizontal table. The spring remains horizontal. If the mass is made to rotate at an angular velocity of \( 2 \mathrm{rad} / \mathrm{s} \) find the elongation of the spring (in \( \mathrm{cm} \) ).
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