A ball of mass 4kg , moving with a velocity of 10 ms ^ - 1 , collides with a spring of length 8m and force constant 100N m ^ - 1 . The length of the compressed spring is xm . The value of x , to the nearest integer, is

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Let's say the compression in the spring by: $y$ . So, by work-energy~theorem we have

$⇒ \dfrac{1}{2}mv^{2} = \dfrac{1}{2}ky^{2}⇒ y = \sqrt{\dfrac{m}{k}} \cdot v⇒ y = \sqrt{\dfrac{4}{100}} \times 10⇒ y = 2m$

$⇒$ ~Final length of spring, $= 8 - 2 = 6m$ .

A ball of mass 4kg , moving with a velocity of 10 ms ^ - 1 ,...

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