A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms − 1 . It collides with a horizontal spring of force constant 200 Nm − 1 . The maximum compression produced in the sp

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A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms − 1 . It collides with a horizontal spring of force constant 200 Nm − 1 . The maximum compression produced in the spring will beNEET 2012 (Screening)

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Loss in KE = Gain in spring energy 2 1 ​ m v 2 [ 1 + R 2 K 2 ​ ] = 2 1 ​ k x m a x 2 ​ where k is the force constant. Given, v = 4 m / s , m = 3 kg , k = 200 N / m For solid cylinder, R 2 K 2 ​ = 2 1 ​ ∴ 2 1 ​ × 3 × ( 4 ) 2 [ 1 + 2 1 ​ ] = 2 1 ​ × 200 × x m a x 2 ​ The maximum compression in the spring x max ​ = 0.6 m

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