A skateboarder is attempting to make a circular arc of radius r= 19 m in a parking lot. The total mass of the skateboard and skateboarder is m = 77 kg. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is μ = 0.68. m
A skateboarder is attempting to make a circular arc of radius r= 19 m in a parking lot. The total mass of the skateboard and skateboarder is m = 77 kg. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is μ = 0.68. m
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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What is the maximum speed, in meters per second, he can travel through the are without slipping?
| Part (b) He speeds up very slightly and begins to slide. The coefficient of kinetic friction is μk = 0.25. What is the new magnitude, in meters per squared second, of his radial acceleration? |
Transcribed Image Text:### Skateboard Motion and Forces
#### Problem Description:
A skateboarder is attempting to make a circular arc of radius \( r = 19 \) meters in a parking lot. The total mass of the skateboard and skateboarder is \( m = 77 \) kilograms. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is \( \mu_s = 0.68 \).
#### Diagram Explanation:
The diagram shows a skateboard of mass \( m \) moving in a circular path with radius \( r \). The mass \( m \) is positioned at a point along the circular path, illustrating its motion. The velocity \( V \) is indicated as a vector pointing tangentially to the path at the position of the mass \( m \).
Key elements in the diagram:
- \( m \): Represents the mass of the skateboard and the skateboarder combined.
- \( r \): Radius of the circular path which is 19 meters.
- \( V \): Velocity vector indicating the direction of movement along the circular path.
#### Important Parameters:
- **Radius (r)**: \( 19 \) meters
- **Mass (m)**: \( 77 \) kilograms
- **Coefficient of Static Friction (\( \mu_s \))**: \( 0.68 \)
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