# 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:

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

91% (357 ratings) ###### 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.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Work By Gravity & Inclined Planes concept. You can view video lessons to learn Work By Gravity & Inclined Planes. Or if you need more Work By Gravity & Inclined Planes practice, you can also practice Work By Gravity & Inclined Planes practice problems.