Question

A child’s toy consists of a m = 36 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 = 17.7 cm, as shown in the diagram. This toy is so adorable you pull the monkey down an additional d = 4.6 cm from equilibrium and release it from rest, and smile with delight as it bounces playfully up and down. A)Calculate the speed of the monkey, v_e, in meters per second, as it passes through equilibrium. B)Derive an expression for the total mechanical energy of the system as the monkey reaches the top of the motion, E_top, in terms of m, x, d, k, the maximum height above the bottom of the motion, h_max, and the variables available in the palette. C) Calculate the maximum displacement, h, in centimeters, above the equilibrium position, that the monkey reaches.

Answer 1

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