Three blocks are stacked on the floor. From the bottom of the stack to the top, their masses are m1, m2, and m3, respectively, as shown on the diagram. When referring to the various forces, the subscripts i=1,2,3 of the blocks will be used, and f will be used to indicate the floor. Weights, if required, will be denoted with the corresponding subscript of the block as Fg,i for i=1,2,3. The normal force exerted by object a on object b, if required, will be denoted as Fn,a→b for i=1,2,3,f but a≠b. The force of kinetic friction exerted by object a on object b, if required, will be denoted as Fk,a→b for i=1,2,3,f, but a≠b. The force of static friction exerted by object a on object b, if required, will be denoted as Fs,a→b for i=1,2,3,f, but a≠b. The floor mentioned in the problem statement is the floor of an elevator. When the elevator accelerates, all of the blocks have a common acceleration in the vertical direction. Form an expression for the net force on the top-most block to complete the expression of Newton's Second Law with the upward direction being taken as the positive y direction. m3ay = ______?
Three blocks are stacked on the floor. From the bottom of the stack to the top, their masses are m1, m2, and m3, respectively, as shown on the diagram. When referring to the various forces, the subscripts i=1,2,3 of the blocks will be used, and f will be used to indicate the floor. Weights, if required, will be denoted with the corresponding subscript of the block as Fg,i for i=1,2,3. The normal force exerted by object a on object b, if required, will be denoted as Fn,a→b for i=1,2,3,f but a≠b. The force of kinetic friction exerted by object a on object b, if required, will be denoted as Fk,a→b for i=1,2,3,f, but a≠b. The force of static friction exerted by object a on object b, if required, will be denoted as Fs,a→b for i=1,2,3,f, but a≠b. The floor mentioned in the problem statement is the floor of an elevator. When the elevator accelerates, all of the blocks have a common acceleration in the vertical direction. Form an expression for the net force on the top-most block to complete the expression of Newton's Second Law with the upward direction being taken as the positive y direction. m3ay = ______?
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Chapter1: Units, Trigonometry. And Vectors
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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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Three blocks are stacked on the floor. From the bottom of the stack to the top, their masses are m1, m2, and m3, respectively, as shown on the diagram. When referring to the various forces, the subscripts i=1,2,3 of the blocks will be used, and f will be used to indicate the floor.
- Weights, if required, will be denoted with the corresponding subscript of the block as Fg,i for i=1,2,3.
- The normal force exerted by object a on object b, if required, will be denoted as Fn,a→b for i=1,2,3,f but a≠b.
- The force of kinetic friction exerted by object a on object b, if required, will be denoted as Fk,a→b for i=1,2,3,f, but a≠b.
- The
force of static friction exerted by object a on object b, if required, will be denoted as Fs,a→b for i=1,2,3,f, but a≠b.
The floor mentioned in the problem statement is the floor of an elevator. When the elevator accelerates, all of the blocks have a common acceleration in the vertical direction. Form an expression for the net force on the top-most block to complete the expression of Newton's Second Law with the upward direction being taken as the positive y direction.
m3ay = ______?
![The image depicts a vertical stack of three colored blocks labeled as \( m_1 \), \( m_2 \), and \( m_3 \), positioned from bottom to top, respectively. The block labeled \( m_1 \) is orange, \( m_2 \) is green, and \( m_3 \) is blue. The stack rests on a horizontal brown surface. This diagram is often used in physics to illustrate concepts such as force, pressure, or stability in stacked objects, where each block can represent a different mass or weight.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a600697-f443-4c2b-86e3-dc55cb10171e%2Fab5ba500-66d0-4830-9a8f-e9fdb8e0921d%2Ffk3m9x_processed.png&w=3840&q=75)
Transcribed Image Text:The image depicts a vertical stack of three colored blocks labeled as \( m_1 \), \( m_2 \), and \( m_3 \), positioned from bottom to top, respectively. The block labeled \( m_1 \) is orange, \( m_2 \) is green, and \( m_3 \) is blue. The stack rests on a horizontal brown surface. This diagram is often used in physics to illustrate concepts such as force, pressure, or stability in stacked objects, where each block can represent a different mass or weight.
![The image shows a table and a keypad layout, likely for a physics or mathematical application interface.
### Table Explanation:
The table is organized into four columns, each with multiple rows. The columns are labeled as follows:
1. **Column 1:**
- \( \mu_k \): Represents the coefficient of kinetic friction.
- \( F_{n2 \to 3} \): Normal force from object 2 acting on object 3.
- \( m_1 \): Mass of the first object.
- \( x \): Variable typically representing position in physics.
2. **Column 2:**
- \( \mu_s \): Represents the coefficient of static friction.
- \( F_{n,f \to 3} \): Normal force from a friction interaction involving object 3.
- \( m_2 \): Mass of the second object.
- \( y \): Another spatial variable, often representing vertical position or a different dimension.
3. **Column 3:**
- \( F_{n,1 \to 3} \): Normal force from object 1 acting on object 3.
- \( g \): Acceleration due to gravity.
- \( m_3 \): Mass of the third object.
- \( z \): Variable typically representing depth or a third dimension in 3D space.
### Keypad Layout Explanation:
The keypad resembles a numerical and functional keypad with additional scientific and editing functionalities:
- **Numerical Keys**: Include numbers 0–9 arranged as:
- Top row: 7, 8, 9
- Middle row: 4, 5, 6
- Bottom row: 1, 2, 3
- Zero and decimal point at the bottom center.
- **Operations and Functions**:
- **Parentheses**: Open and close brackets for organizing mathematical expressions.
- **Arrow Keys**: Represent navigation, with labels suggesting usage (`↑`, `←`, `→`, `↔` for alternating).
- **Arithmetic Operations**:
- Addition (+), subtraction (-), multiplication (*), and division (/).
- **Other Functions**:
- \( \sqrt{} \) symbol: Likely for square root operations.
- \( \Box \) (empty parentheses): Could denote a placeholder for operations.
- BACKSPACE, DEL, CLEAR: For editing input](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a600697-f443-4c2b-86e3-dc55cb10171e%2Fab5ba500-66d0-4830-9a8f-e9fdb8e0921d%2Fetmkgr6_processed.png&w=3840&q=75)
Transcribed Image Text:The image shows a table and a keypad layout, likely for a physics or mathematical application interface.
### Table Explanation:
The table is organized into four columns, each with multiple rows. The columns are labeled as follows:
1. **Column 1:**
- \( \mu_k \): Represents the coefficient of kinetic friction.
- \( F_{n2 \to 3} \): Normal force from object 2 acting on object 3.
- \( m_1 \): Mass of the first object.
- \( x \): Variable typically representing position in physics.
2. **Column 2:**
- \( \mu_s \): Represents the coefficient of static friction.
- \( F_{n,f \to 3} \): Normal force from a friction interaction involving object 3.
- \( m_2 \): Mass of the second object.
- \( y \): Another spatial variable, often representing vertical position or a different dimension.
3. **Column 3:**
- \( F_{n,1 \to 3} \): Normal force from object 1 acting on object 3.
- \( g \): Acceleration due to gravity.
- \( m_3 \): Mass of the third object.
- \( z \): Variable typically representing depth or a third dimension in 3D space.
### Keypad Layout Explanation:
The keypad resembles a numerical and functional keypad with additional scientific and editing functionalities:
- **Numerical Keys**: Include numbers 0–9 arranged as:
- Top row: 7, 8, 9
- Middle row: 4, 5, 6
- Bottom row: 1, 2, 3
- Zero and decimal point at the bottom center.
- **Operations and Functions**:
- **Parentheses**: Open and close brackets for organizing mathematical expressions.
- **Arrow Keys**: Represent navigation, with labels suggesting usage (`↑`, `←`, `→`, `↔` for alternating).
- **Arithmetic Operations**:
- Addition (+), subtraction (-), multiplication (*), and division (/).
- **Other Functions**:
- \( \sqrt{} \) symbol: Likely for square root operations.
- \( \Box \) (empty parentheses): Could denote a placeholder for operations.
- BACKSPACE, DEL, CLEAR: For editing input
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