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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Question
The block shown in the figure below has mass m = 7.0 kg and lies on a fixed smooth frictionless plane tilted at an angle ? = 22.0° to the horizontal(a) Determine the acceleration of the block as it slides down the plane(b) If the block starts from rest 12.0 m up the plane from its base, what will be the block’s speed when it reaches the bottom of the incline?
Transcribed Image Text:The image illustrates a block on an inclined plane. The key components of the diagram are:
1. **Inclined Plane**: The plane is inclined at an angle \(\theta\) to the horizontal axis.
2. **Block**: The block is shown resting on the inclined plane.
3. **Forces**:
- **Gravitational Force (\(\vec{mg}\))**: This force acts downward, representing the weight of the block due to gravity.
- **Normal Force (\(\vec{n}\))**: This is the force perpendicular to the surface of the incline, supporting the block.
4. **Axes**:
- The \(x\)-axis is parallel to the inclined plane.
- The \(y\)-axis is perpendicular to the inclined plane.
The angle \(\theta\) is highlighted twice in the diagram, emphasizing the angle between the inclined plane and the horizontal, and the angle between the gravitational force and the perpendicular to the incline. This setup is commonly used to analyze the forces acting on an object on an inclined plane, often exploring components of gravitational force along the axes.
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