If it requires 6.0 J of work to stretch a particular spring by 0.02 m from it's equilibrium length, how much more work will be required to stretch it an additional 0.04 m?

Many machines- including inclined planes such as ramps- increase the strength of the force put into the machine but decrease the distance over which the force is applied.

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When the displacement of a mass on a spring is 12a the half of the amplitude, what fraction of the mechanical energy is kinetic energy? at what displacement, as a fraction of a, is the mechanical energy half kinetic and half potential?