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An accelerometer in a control system consists of a 4.70 g object sliding on a horizontal rail. A low-mass spring is connected between the object and a flange at one end of the rail. Grease on the rail makes static friction negligible, but rapidly damps out vibrations of the sliding object. When subject to a steady acceleration of 5.30 m/s2, the object must be located 0.220 cm from its equilibrium position. Find the force constant required for the spring.

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