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Question
- a person lifts a heavy block and places it on the table. another person uses an inclined plane to push the block on the table. who does more work? explain.
Work done to move an object to height $h$ is defined by the change in gravitational potential energy, $W = mgh$, where $m$ is mass, $g$ is acceleration due to gravity. When using an inclined plane, additional work is required to overcome friction between the block and the plane's surface. The person lifting the block only does work against gravity, while the person using the incline does work against both gravity and friction.
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The person using the inclined plane does more work. This is because while both people do work to raise the block to the height of the table (equal to $mgh$), the person with the inclined plane must also do extra work to overcome the friction between the block and the surface of the incline.