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# Problem: An elevator of mass m rises a vertical distance h with upward acceleration equal to one-tenth g. Find an expression for the work the elevator cable does on the elevator.

###### FREE Expert Solution

Work done on the elevator by the cable is:

$\overline{){\mathbf{W}}{\mathbf{=}}{\mathbit{f}}{\mathbf{h}}}$, where f is force and h is the vertical distance.

The force of gravity is expressed as:

$\overline{){\mathbf{f}}{\mathbf{=}}{\mathbf{m}}{\mathbf{g}}}$, where m is mass and g is the acceleration due to gravity.

Newton's second law:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

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###### Problem Details

An elevator of mass m rises a vertical distance h with upward acceleration equal to one-tenth g. Find an expression for the work the elevator cable does on the elevator.

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