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→Work Done on a Spring
: The distance moved is the same as the extension 'x'.
These two equations can be combined:
:1. <math>1. F = kx</math>:2. <math>2. W = Fx</math>
Substitute 1 into 2.
:<math>W = (kx) \times x</math>
:<math>W = kx^2</math>