A mass-spring system consists of a 250 g mass hanging from a spring with a spring constant k = 0.18 J/m2. A person pulls the mass down 7.1 cm from its equilibrium position and then releases it from rest. (a) How much work did the person do when they pulled the spring down from its equilibrium position? Assume that the mass was at rest before they pulled it down, and before it was released. (Use the Energy-Interaction Model, not the expression W = F ∆x, to determine the work.) (b) Create a particular model (construct an Energy-System Diagram) for each of the following final conditions to predict the speed of the mass after it is released, and when it is: moving up through the equilibrium position moving down through equilibrium 5.0 cm below the equilibrium position, moving down
Phenomenon: A mass-spring system consists of a 250 g mass hanging from a spring with a spring constant k = 0.18 J/m2. A person pulls the mass down 7.1 cm from its equilibrium position and then releases it from rest.
(a) How much work did the person do when they pulled the spring down from its equilibrium position? Assume that the mass was at rest before they pulled it down, and before it was released. (Use the Energy-Interaction Model, not the expression W = F ∆x, to determine the work.)
(b) Create a particular model (construct an Energy-System Diagram) for each of the following final conditions to predict the speed of the mass after it is released, and when it is:
- moving up through the equilibrium position
- moving down through equilibrium
- 5.0 cm below the equilibrium position, moving down
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