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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 constant force of \(35\text{ N}\) is applied to an object at an angle of \(-45^\circ\) with the horizontal as shown above. The object is pulled \(12\text{ m}\) at an angle of \(15^\circ\) with the horizontal. How much work is done in the process of moving the object?

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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 \(1.732.\)

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The above diagram depicts a ramp of distance \(d=10\text{ m}\) with an incline angle of \(30^\circ.\) A box with mass \(m=25\text{ kg}\) is sliding down the inclined plane and the coefficient of kinetic friction between the box and the ramp is \(\mu_k=0.2.\) What is the total work done on the box by all of the forces acting on it?

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

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A block is pushed for a distance of \(d=2.7\text{ m}\) along a frictionless horizontal floor by a constantly applied force of magnitude \(F=16.0\text{ N}.\) The mass of the block is \(m=2.5\text{ kg}\) and the angle between the applied force and the floor is \(\theta=30^\circ,\) as shown in the above figure. Approximately how much work is done on the box by the applied force?

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

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