In a control system, an accelerometer consists of a -g object sliding on a calibrated horizontal rail. A low-mass spring attaches the object to 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 g, the object should be at a location cm away from its equilibrium position. Find the force constant of the spring required for the calibration to be correct .