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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Transcribed Image Text:The problem involves a track with three sections: A-B, B-C, and C-D. Here's a detailed breakdown:
1. **Track Description:**
- **Section A-B:** This is a quarter circle with a radius of 1.5 meters and is frictionless.
- **Section B-C:** A horizontal span with friction; the coefficient of kinetic friction \( \mu_k \) is 0.3. The length of this span is 3 meters.
- **Section C-D:** This section is frictionless and contains a spring.
2. **Initial Conditions:**
- A block with a mass of 1 kg is released from rest at point A.
3. **Observation:**
- The block compresses the spring by 0.15 meters after sliding on the track.
4. **Tasks:**
- Determine the following:
- (a) The velocity of the block at point B.
- (b) The work done by friction as the block slides from B to C.
- (c) The velocity of the block at point C.
- (d) The spring constant of the spring.
5. **Diagram Description:**
- The diagram shows the track starting at A, curving down to B (quarter circle, frictionless), then following a straight line from B to C (friction \( \mu_k = 0.3 \)), and finally reaching D where the spring is located.
This problem requires understanding concepts of energy conservation, frictional work, kinematics, and spring compression to solve the given tasks.
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