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A small box is released from rest at the top of a frictionless inclined plane as shown in (Figure 1). The horizontal surface at the base of the plane is rough and has a coefficient of kinetic friction μk�k = 0.3. If H� = 20 mm, how far does the box slide on the rough surface before coming to rest, d�?

A small box is released from rest at the top of a frictionless inclined plane as shown in (Figure 1). The horizontal surface at the base of the plane is rough and has a coefficient of kinetic friction μk�k = 0.3. If H� = 20 mm, how far does the box slide on the rough surface before coming to rest, d�?

College Physics
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A small box is released from rest at the top of a frictionless inclined plane as shown in (Figure 1). The horizontal surface at the base of the plane is rough and has a coefficient of kinetic friction μk�k = 0.3. If H� = 20 mm, how far does the box slide on the rough surface before coming to rest, d�?

### Inclined Plane Diagram This diagram represents an inclined plane and is often used in physics to illustrate concepts related to motion, force, and energy. Here is a detailed explanation: 1. **Inclined Plane**: - **Inclination Angle (θ)**: This is the angle between the inclined surface and the horizontal ground. It is typically represented by the Greek letter theta (θ). - **Height (H)**: This is the vertical distance from the top of the inclined plane to the horizontal ground. - **Distance (d)**: This is the horizontal distance from the bottom of the inclined plane to a point on the horizontal ground. 2. **Object on the Inclined Plane**: - There is an object (e.g., a block) placed at the top of the inclined plane which is expected to either remain stationary or slide down depending on various factors such as friction, angle of inclination (θ), and gravity. 3. **Horizontal Surface**: - This is the flat surface at the base of the incline. It continues from the bottom of the inclined plane. Examples of concepts that can be explained using this diagram: - **Gravitational Force**: The component of gravitational force acting parallel to the inclined plane (mg sin θ) and perpendicular to it (mg cos θ). - **Normal Force**: The force exerted by the inclined plane, perpendicular to its surface. - **Frictional Force**: If present, acts opposite to the direction of the object's motion down the incline. This setup is fundamental in teaching and learning about Newton's laws of motion, work and energy principles, and frictional forces.
Transcribed Image Text:### Inclined Plane Diagram This diagram represents an inclined plane and is often used in physics to illustrate concepts related to motion, force, and energy. Here is a detailed explanation: 1. **Inclined Plane**: - **Inclination Angle (θ)**: This is the angle between the inclined surface and the horizontal ground. It is typically represented by the Greek letter theta (θ). - **Height (H)**: This is the vertical distance from the top of the inclined plane to the horizontal ground. - **Distance (d)**: This is the horizontal distance from the bottom of the inclined plane to a point on the horizontal ground. 2. **Object on the Inclined Plane**: - There is an object (e.g., a block) placed at the top of the inclined plane which is expected to either remain stationary or slide down depending on various factors such as friction, angle of inclination (θ), and gravity. 3. **Horizontal Surface**: - This is the flat surface at the base of the incline. It continues from the bottom of the inclined plane. Examples of concepts that can be explained using this diagram: - **Gravitational Force**: The component of gravitational force acting parallel to the inclined plane (mg sin θ) and perpendicular to it (mg cos θ). - **Normal Force**: The force exerted by the inclined plane, perpendicular to its surface. - **Frictional Force**: If present, acts opposite to the direction of the object's motion down the incline. This setup is fundamental in teaching and learning about Newton's laws of motion, work and energy principles, and frictional forces.
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