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Calculating Work from Speed Change: Water-Skiing Physics Explained!

Chapter 6, Problem 6.86

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QUESTION:

A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 70.3 kg water-skier has an initial speed of 6.10 m/s. Later, the speed increases to 11.3 m/s. Determine the work done by the net external force acting on the skier.

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QUESTION:

A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 70.3 kg water-skier has an initial speed of 6.10 m/s. Later, the speed increases to 11.3 m/s. Determine the work done by the net external force acting on the skier.

ANSWER:

Step 1 of 3

Consider the given data as follows.

The mass of the water-skier m = 70.3 kg.

The initial speed of the skier \({{v}_{i}}=6.10\text{ m/s}\).

The final speed of the skier \({{\text{v}}_{f}}=11.3\text{ m/s}\).

Using this information, we can calculate the work done by the net external force acting on the skier.

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Calculating Work from Speed Change: Water-Skiing Physics Explained!
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Explore the physics behind a water-skier accelerating from an initial speed to a faster one. Learn how to calculate the work done using the change in kinetic energy. Understand the principle of energy conservation through real-world examples.


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