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In this lesson, we will learn how to use the work–energy principle to solve problems involving a moving particle under the action of a constant force.

Q1:

A ring of mass 1.5 kg was sliding down a vertical pole. Starting from rest, it accelerated over a distance of 3.3 m until its speed became 6.2 m/s. Using the work-energy principle, determine the work done by the resistance to the ring’s motion. Take 𝑔 = 9 . 8 / m s 2 .

Q2:

A body started moving from rest from the top of a ramp that is 312 cm long which was inclined at 6 0 ∘ to the horizontal. When it reached the bottom, it continued moving on a horizontal plane. The resistance to the body’s motion is constant on both the ramp and the plane and equal to √ 3 4 times the weight of the body. Determine the distance that the body covered on the horizontal plane until it came to rest.

Q3:

A car of mass 920 kg was moving along a horizontal section of road. The driver applied brakes when it was traveling at 54 km/h. Given that it came to a stop after covering a distance of 30 m, find the work done by the brakes over this distance.

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