Consider the skateboarder in the figure below. If she has a mass of 58 kg, an initial velocity of 30 m/s, and a velocity of 11 m/s at the top of the ramp, what is the work done by friction on the skateboarder? Ignore the kinetic energy of the skateboard’s wheels.

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Consider the skateboarder in the figure below. If she has a mass of 58 kg, an initial velocity of 30 m/s, and a velocity of 11 m/s at the top of the ramp, what is the work done by friction on the skateboarder? Ignore the kinetic energy of the skateboard’s wheels.

### Physics of Motion: Skateboard Example

In the illustrated scenario, we observe a skateboarder poised to move along a curvilinear path. The image provides a clear visual representation and the following key elements:

- **Skateboarder**: A simplified drawing of a person on a skateboard is shown, indicating initial movement.
- **Initial Velocity (\(v_0\))**: The skateboarder has an initial velocity directed to the right, denoted by the green arrow labeled \(v_0\).
- **Path of Motion**: The skateboarder approaches a hill with a smooth curve, ascending and then possibly descending.
- **Height**: The peak of the hill reaches a vertical height of 5.0 meters from the ground level.

#### Description of the Diagram:
1. **Skateboarder**: Represented by a stick figure, the skateboarder is drawn moving from left to right.
2. **Initial Velocity (\(v_0\))**: This is indicated by a green arrow pointing to the right. The arrow suggests that the skateboarder starts with an initial speed as they approach the hill.
3. **Hill**:
   - **Shape**: The hill has a gentle upward slope that culminates in a smooth peak before leveling down again.
   - **Height Measurement**: The vertical distance to the top of the hill is marked as 5.0 meters.

The diagram illustrates fundamental concepts of physics, such as motion, velocity, and potential energy. As the skateboarder ascends the hill, kinetic energy is converted to potential energy. If the skateboarder were to descend down the other side, this potential energy would convert back to kinetic energy.

This example is beneficial for understanding basic principles of mechanics, energy transformation, and motion along a curved path.
Transcribed Image Text:### Physics of Motion: Skateboard Example In the illustrated scenario, we observe a skateboarder poised to move along a curvilinear path. The image provides a clear visual representation and the following key elements: - **Skateboarder**: A simplified drawing of a person on a skateboard is shown, indicating initial movement. - **Initial Velocity (\(v_0\))**: The skateboarder has an initial velocity directed to the right, denoted by the green arrow labeled \(v_0\). - **Path of Motion**: The skateboarder approaches a hill with a smooth curve, ascending and then possibly descending. - **Height**: The peak of the hill reaches a vertical height of 5.0 meters from the ground level. #### Description of the Diagram: 1. **Skateboarder**: Represented by a stick figure, the skateboarder is drawn moving from left to right. 2. **Initial Velocity (\(v_0\))**: This is indicated by a green arrow pointing to the right. The arrow suggests that the skateboarder starts with an initial speed as they approach the hill. 3. **Hill**: - **Shape**: The hill has a gentle upward slope that culminates in a smooth peak before leveling down again. - **Height Measurement**: The vertical distance to the top of the hill is marked as 5.0 meters. The diagram illustrates fundamental concepts of physics, such as motion, velocity, and potential energy. As the skateboarder ascends the hill, kinetic energy is converted to potential energy. If the skateboarder were to descend down the other side, this potential energy would convert back to kinetic energy. This example is beneficial for understanding basic principles of mechanics, energy transformation, and motion along a curved path.
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