Mechanical Energy
3. Elastic Potential Energy
Learning outcomes
- I can define elastic potential energy as energy stored when an object is stretched or compressed.
- I can describe situations in which elastic potential energy is stored and released.
- I can explain how elastic potential energy depends on deformation and spring stiffness.
- I can recall and use the equation Ee = ½kx2
- I can calculate elastic potential energy in springs and other elastic systems.
E = .5kx^2
- A spring (k = 7.50 N/m) has been stretched 0.40 m from its equilibrium position. What is the potential energy now stored in the spring?
- A spring (k = 800 N/m) has been compressed, and 196 J of potential energy is stored. What distance from equilibrium has the spring been compressed?
- Calculate the spring constant of a spring that stores 100J of energy when compressed 500cm.
- A spring has 900J of energy applied to it. It has a spring constant of 20N/m. Calculate the extension.
- A spring has 900J of energy applied to it. It has a spring constant of 20,000 N/m. Calculate the extension.
- How much work must be done on a spring with a spring constant of 80 N/m to stretch the spring 20 cm?
- A spring has an extension of 20 cm. Calculate the elastic potential energy stored in the spring (k = 100 N/m).
- A spring is stretched with a spring constant of 3 N/m until it is extended by 50 cm. What is the elastic potential energy stored by the spring?
- How much elastic potential energy does a spring store when it is compressed by 0.2 m if it has a spring constant of 5 N/m?
- What is the elastic potential energy stored in a spring whose spring constant is 160 N/m when it is compressed 8.0 cm?
- How much would a spring scale with a spring constant of 120 N/m stretch if it had 3.75J of work done on it?
- What is the spring constant of a spring if the extension of the spring is 0.15 m when 0.72J of potential energy is stored in it?