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A spring has a a constant of 650 N/m. How far must it be compressed to push a 4kg object on a friction-less surface to 3 m/s?

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Let X be the required compression and V be the required velocity.

(Spring potential energy) = (Final kinetic energy of the mass)

(1/2) k X^2 = (1/2) M V^2
X = V*sqrt(M/k)= 0.235 m

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