Answers A 20 kg box on a horizontal frictionless surface is moving to the right at a speed of 4.0 m/s . The box hits and remains attached to one end of a spring of negligible mass whose other end is attached to a wall. As a result, the spring compresses a maximum distance of 0.50 m, and the box then oscillates back and forth. Check Your Answer (a) i. The spring does work on the box from the moment the box first hits the spring to the moment the spring first reaches its maximum compression. Indicate whether the work done by the spring is positive, negative, or zero. Justify your answer. Check Your Answer (a) ii. Calculate the magnitude of the work described in part i. Check Your Answer (b) Calculate the spring constant of the spring. Check Your Answer (c) Calculate the magnitude of the maximum acceleration of the box. Check Your Answer (d) Calculate the frequency of the oscillation of the box. (e) Let x = 0 be the point where the box makes contact with the spring, with positive x directed toward the right. Check Your Answer i. On the axes below, sketch the kinetic energy K of the oscillating box as a function of position x for the range x = -0.50 m to x = +0.50 m. Check Your Answer ii. On the axes below, sketch the acceleration a of the oscillating box as a function of position x for the range x = -0.50 m to x = +0.50 m.