A mine elevator is supported by a $2$ cmcm diameter steel cable $($Ultimate Strength $=569\mathrm{.}78067$ MPaMPa $).$ The mass of the elevator and its contents is $945$ kgkg $.$ The modulus of elasticity of the cable is $570$ GPaGPa $.$

Part C $-$ If the elevator is accelerating up at $3\mathrm{.}8$m$//$s$^(2),$ by how much is the cable stretched when the elevator is $273$ m below Earth's surface?

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Part D

For the three cases examined in parts A$-$C$,$ what is the minimum factor of safety?