a: You have two disks lying flat on ice, one has a string wrapp unravels as you pull, the other has a string attached to a peg i masses and dimensions and are initially at rest. If you start time with the same constant force, at some timet later which er? Or have they both moved the same distance? Explain.
a: You have two disks lying flat on ice, one has a string wrapp unravels as you pull, the other has a string attached to a peg i masses and dimensions and are initially at rest. If you start time with the same constant force, at some timet later which er? Or have they both moved the same distance? Explain.
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:**Extra:**
You have two disks lying flat on ice. One has a string wrapped around the outside edge, which unravels as you pull. The other has a string attached to a peg in the center. The disks have equal masses and dimensions and are initially at rest. If you start pulling both strings at the same time with the same constant force, at some time \( t \) later, which of the two disks has moved further? Or have they both moved the same distance? Explain.
![### Constants and Other Possibly Useful Numbers
- **Acceleration due to gravity, \( g \)**: \( 9.8 \, \text{m/s}^2 \)
- **Gravitational constant, \( G \)**: \( 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)
- **Speed of light, \( c \)**: \( 3 \times 10^8 \, \text{m/s} \)
- **Mass of an electron, \( m_e \)**: \( 9.11 \times 10^{-31} \, \text{kg} \)
- **Mass of a proton, \( m_p \)**: \( 1.67 \times 10^{-27} \, \text{kg} \)
- **Mass of Earth**: \( 6 \times 10^{24} \, \text{kg} \)
- **Radius of Earth**: \( 6.4 \times 10^6 \, \text{m} \)
- **Mass of the Moon**: \( 7.35 \times 10^{22} \, \text{kg} \)
- **Radius of the Moon**: \( 1.74 \times 10^6 \, \text{m} \)
- **Mass of the Sun**: \( 2 \times 10^{30} \, \text{kg} \)
- **Radius of the Sun**: \( 6.957 \times 10^8 \, \text{m} \)
- **Average distance between the Moon and Earth**: \( 3.84 \times 10^8 \, \text{m} \)
- **Average distance between Sun and Earth**: \( 1.5 \times 10^{11} \, \text{m} \)
### Moments of Inertia
- General formula:
\[
I = \sum m_i r_i^2
\]
- **Ring**:
\[
I_{\text{ring}} = M \left( \frac{R_1^2 + R_2^2}{2} \right)
\]
- **Disk/Cylinder**:
\[
I_{\text{disk}} = I_{\text{](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02ec4b82-5ff0-4052-a25d-a8fd5708f2e2%2Fba9ae9ff-7a64-493b-8b3d-4a2e1a9bd5df%2F99t9bpyf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Constants and Other Possibly Useful Numbers
- **Acceleration due to gravity, \( g \)**: \( 9.8 \, \text{m/s}^2 \)
- **Gravitational constant, \( G \)**: \( 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)
- **Speed of light, \( c \)**: \( 3 \times 10^8 \, \text{m/s} \)
- **Mass of an electron, \( m_e \)**: \( 9.11 \times 10^{-31} \, \text{kg} \)
- **Mass of a proton, \( m_p \)**: \( 1.67 \times 10^{-27} \, \text{kg} \)
- **Mass of Earth**: \( 6 \times 10^{24} \, \text{kg} \)
- **Radius of Earth**: \( 6.4 \times 10^6 \, \text{m} \)
- **Mass of the Moon**: \( 7.35 \times 10^{22} \, \text{kg} \)
- **Radius of the Moon**: \( 1.74 \times 10^6 \, \text{m} \)
- **Mass of the Sun**: \( 2 \times 10^{30} \, \text{kg} \)
- **Radius of the Sun**: \( 6.957 \times 10^8 \, \text{m} \)
- **Average distance between the Moon and Earth**: \( 3.84 \times 10^8 \, \text{m} \)
- **Average distance between Sun and Earth**: \( 1.5 \times 10^{11} \, \text{m} \)
### Moments of Inertia
- General formula:
\[
I = \sum m_i r_i^2
\]
- **Ring**:
\[
I_{\text{ring}} = M \left( \frac{R_1^2 + R_2^2}{2} \right)
\]
- **Disk/Cylinder**:
\[
I_{\text{disk}} = I_{\text{
Expert Solution
Step 1
Given;-
Two disks lying flat on the ice, one has a string wrapped around the outside edge
which unravels as you pull, the other has a string attached to a peg in the center.
The discs have equal masses and dimensions and are initially at rest. If you start pulling both strings at the same time with the same constant force,
Find:-
at some time t later which of the two disks has moved further? Or have they both moved the same distance? Explain.
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