A child’s toy consists of a m = 33 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 = 11.4 cm, as shown in the diagram. This toy is so adorable you pull the monkey down an additional d = 6.7 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, ve, 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, Etop, in terms of m, x, d, k, the maximum height above the bottom of the motion, hmax, and the variables available in the palette. c) Calculate the maximum displacement, h, in centimeters, above the equilibrium position, that the monkey reaches.
A child’s toy consists of a m = 33 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 = 11.4 cm, as shown in the diagram. This toy is so adorable you pull the monkey down an additional d = 6.7 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, ve, 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, Etop, in terms of m, x, d, k, the maximum height above the bottom of the motion, hmax, and the variables available in the palette.
c) Calculate the maximum displacement, h, in centimeters, above the equilibrium position, that the monkey reaches.
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