1. A skateboarder takes off from a track with elevated curved ends and a flat central part. The flat part has a length \( L \). The curved portions of the track have negligible friction, but the flat part of the track has a coefficient of kinetic friction of \( \mu_k \). The skateboarder leaves from rest from a height \( h \) on the left curved portion of the track. ![Diagram of Skateboard Track](Here a diagram would typically be shown depicting the track. The track has two elevated curved portions on each end with a flat central portion. The height of the curved portion is marked as \( h \) and the flat portion has a length \( L \).) a. Draw the following six energy bar diagrams: i. **System: Skateboarder** - Top of track to beginning of flat part of track - Beginning of flat part of track to end of flat part of track - End of flat part of track to highest point the Skateboarder reaches on right side of track ii. **System: Everything** - Top of track to beginning of flat part of track - Beginning of flat part of track to end of flat part of track - End of flat part of track to highest point the Skateboarder reaches on right side of track b. Show that the maximum height reached by the skateboarder on the right curved portion of the track will be given by \( h_1 = h - \mu_k L \). c. What would occur if \( \mu_k L > h \)?

We have given A skateboarder takes off from a track with elevated curved ends and a flat central part flat part length L the curved portion have negligible but flat part track has a coefficient of kinetic frcition is μK. Solution (b)We have given The height of the particle is (h) length of the flat part is (L) Now the initial Potential energy is given by Potential energy=mgh And the work done by the friction force is given by work done=μKmgL Now the final height is h1 Now from the conservation of energy equation mgh-μKmgL=mgh1 On solving we get h1=h-μKL solution (c) Now if the condition μKL>h Then the skateboarder will stop in the flat region and he should not have enough Kinetic energy to reach the height h1 and it will halt at the flat surface.

Engineering

Electrical Engineering

A skateboarder takes off from a track with elevated curved ends and a flat central part. The flat part has a length L. The curved portions of the track have negligible friction, but the flat part of the track has a coefficient of kinetic friction of uz. The skateboarder leaves from rest from a height h on the left curved portion of the track. a. Draw the following six energy bar diagrams System: Skateboarder i. 1. Top of track to beginning of flat part of track 2. Beginning of flat part of track to end of flat part of track 3. End of flat part of track to highest point the Skateboarder reaches on right side of track System: Everything 1. Top of track to beginning of flat part of track 2. Beginning of flat part to of track end of flat part of track 3. End of flat part of track to highest point the Skateboarder reaches on right side of track ii. b. Show that the maximum height reached by the skateboarder on the right curved portion of the track will be given by h = h – HzL. c. What would occur if uzL > h?

A skateboarder takes off from a track with elevated curved ends and a flat central part. The flat part has a length L. The curved portions of the track have negligible friction, but the flat part of the track has a coefficient of kinetic friction of uz. The skateboarder leaves from rest from a height h on the left curved portion of the track. a. Draw the following six energy bar diagrams System: Skateboarder i. 1. Top of track to beginning of flat part of track 2. Beginning of flat part of track to end of flat part of track 3. End of flat part of track to highest point the Skateboarder reaches on right side of track System: Everything 1. Top of track to beginning of flat part of track 2. Beginning of flat part to of track end of flat part of track 3. End of flat part of track to highest point the Skateboarder reaches on right side of track ii. b. Show that the maximum height reached by the skateboarder on the right curved portion of the track will be given by h = h – HzL. c. What would occur if uzL > h?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

1. A skateboarder takes off from a track with elevated curved ends and a flat central part. The flat part has a length \( L \). The curved portions of the track have negligible friction, but the flat part of the track has a coefficient of kinetic friction of \( \mu_k \). The skateboarder leaves from rest from a height \( h \) on the left curved portion of the track.

![Diagram of Skateboard Track](Here a diagram would typically be shown depicting the track. The track has two elevated curved portions on each end with a flat central portion. The height of the curved portion is marked as \( h \) and the flat portion has a length \( L \).)

a. Draw the following six energy bar diagrams:

i. **System: Skateboarder**

- Top of track to beginning of flat part of track
- Beginning of flat part of track to end of flat part of track
- End of flat part of track to highest point the Skateboarder reaches on right side of track

ii. **System: Everything**

- Top of track to beginning of flat part of track
- Beginning of flat part of track to end of flat part of track
- End of flat part of track to highest point the Skateboarder reaches on right side of track

b. Show that the maximum height reached by the skateboarder on the right curved portion of the track will be given by \( h_1 = h - \mu_k L \).

c. What would occur if \( \mu_k L > h \)?

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