Jack-in-the-box 1/4 points (graded) The figure depicts Jack-in-the-box: "Jack" is attached inside a box by a spring, as shown. You estimate Jack's mass to be 0.6 kg. As so often happens, a sign tells you the spring constant: k = 177 N/m. The Jack-in-the- box is immersed in a fluid. The fluid offers a resistive force F = -by, which damps the oscillation. Under the influence of this damping, you observe the period of the oscillation to be 0.5 s. (a) Without damping, do you expect the period of the oscillation to be greater than, equal to, or less than the observed period (with damping)? Explain your answer in words and then calculate the period without damping. 0.366 0.366 (b) Determine the value of the damping constant, b. kg/ s (c) After one full oscillation, by what percentage does the amplitude decrease? X (d) In the same amount of time as one full oscillation, by what percentage does the total energy of the system decrease? X