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# Work

Work transfers energy to a system through the forceful manipulation of its state. Do some work on yourself to master this fundamental mode of energy transfer.

A box with a mass of \(20\text{ kg}\) is moved along a horizontal floor by a worker. He is pulling on the box with a rope. The angle between the rope and the floor is \(30^\circ.\) The tension in the rope is \(250\text{ N}\) and the box slides a distance of \(10\text{ m}.\) Approximately how much work is done on the box by the rope?

**Notes**

- \(\sqrt{3}\) is about \(1.732.\)

The gravitational acceleration is \(g=10\text{ m/s}^2.\)

\(\sqrt{3}\) is about \(1.732.\)

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