Chapter 9: Q. 33 (page 229)

Justin, with a mass of $30$ kg, is going down an $8.0$ -m-high water slide. He starts at rest, and his speed at the bottom is $11$ m/s. How much thermal energy is created by friction during his descent?

Short Answer

Expert verified

$μ_{k} = 0.037$

Step by step solution

Step 1. Given Information

We have,

a mass of $30$ kg, is going down an $8.0$ -m-high water slide. He starts at rest, and his speed at the bottom is $11$ m/s.

Step 2. Find the friction

We know that,

$W = K_{f} - K_{i} - μ_{k} n ∆ s = \frac{1}{2} m {v^{2}}_{f} - \frac{1}{2} m {v^{2}}_{i} μ_{k} n ∆ s = \frac{1}{2} m {v^{2}}_{i} μ_{k} = \frac{m {v_{i}}^{2}}{2 n ∆ s}$

Then, $μ_{k} = \frac{m {v_{i}}^{2}}{2 m g ∆ s} = \frac{{v_{i}}^{2}}{2 g ∆ s}$

Now, we put the values

$μ_{k} = \frac{{v_{i}}^{2}}{2 g ∆ s} = \frac{{(1.2 m / s)}^{2}}{2 (9.8 m / s^{2}) (2 m)} = 0.037$

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Justin, with a mass of $30$ kg, is going down an $8.0$ -m-high water slide. He starts at rest, and his speed at the bottom is $11$ m/s. How much thermal energy is created by friction during his descent?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the friction

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Justin, with a mass of 30 kg, is going down an 8.0-m-high water slide. He starts at rest, and his speed at the bottom is 11 m/s. How much thermal energy is created by friction during his descent?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the friction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Solid State Physics

Rotational Dynamics

Physics of Motion

Electricity and Magnetism

Magnetism and Electromagnetic Induction

Fluids

Study anywhere. Anytime. Across all devices.

Justin, with a mass of $30$ kg, is going down an $8.0$ -m-high water slide. He starts at rest, and his speed at the bottom is $11$ m/s. How much thermal energy is created by friction during his descent?