A child's toy consists of a m = 32 g monkey suspended from a spring of negligible mass and spring constant k. When the toy monkey is first hung on the spring and the system reaches equilibrium, the spring has stretched a distance of x = 13.3 cm, as shown in the diagram. This toy is so adorable you pull the monkey down an additional d = 5.3 cm from equilibrium and release it from rest, and smile with delight as it bounces playfully up and down.
Part (a) Using the given information, determine the spring constant, k in N/m, of the spring.
Part (b) Calculate the speed of the monkey, ve in m/s, as it passes through equilibrium.
Part (c) Calculate the maximum displacement, h in cm, above the equilibrium position, x, that the monkey reaches.