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How does the elastic potential energy in a mass spring system change if the displacement of the mass is doubled?
Wiki User
∙ 13y ago
The elastic potential energy (EEp) of the spring with displacement x from its original length is given by:
EEp = 1/2 kx2 (can be proved using integration)
where k is the spring constant of the spring.
So, if the displacement of the mass is doubled, the elastic EEp stored will increase by 22, that is by 4.
Wiki User
∙ 13y ago
Wiki User
∙ 7y agoit goes up by four since energy is proportional to extension squared
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