A block of mass $m=2\mathrm{.}28kg$ is attached to a horizontal spring of constant $k=119\frac{N}{m}$ as shown. The spring is initially at its original length and the block is initially at rest. A horizontal force $F_A=20\mathrm{.}8N$ is then applied to the block as shown. The surface has coefficient of kinetic friction $0\mathrm{.}115.$

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A$.$ Calculate the deformation of the spring when the block stops moving briefly. $$

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B$.$ Calculate the work done by the applied force when the block stops moving briefly. $$

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C$.$ Calculate the work done by the friction force when the block stops moving briefly. $$

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D$.$ Calculate the work done by the spring when the block stops moving briefly. $$

E$.$ Calculate the deformation of the spring when the block has its maximum kinetic energy. $$

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F$.$ Calculate the velocity of the block when it has its maximum kinetic energy. $$

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