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Students work together during an experiment about Newton’s laws.  The students use a setup that consists of a cart of known mass connected to one end of a string that is looped over a pulley of negligible friction, with its other end connected to a hanging mass.  The cart is initially at rest on a horizontal surface and rolls without slipping when released.  The inertia of the cart's wheels is negligible.  Students have access to common laboratory equipment to make measurements of components of the system.   By collecting the appropriate data, the students can determine the relationship between the acceleration of the cart and the net force exerted on the cart.  Which of the following graphs should the students produce to show the correct relationship?      a A  b C  c D  d B

Students work together during an experiment about Newton’s laws.  The students use a setup that consists of a cart of known mass connected to one end of a string that is looped over a pulley of negligible friction, with its other end connected to a hanging mass.  The cart is initially at rest on a horizontal surface and rolls without slipping when released.  The inertia of the cart's wheels is negligible.  Students have access to common laboratory equipment to make measurements of components of the system.   By collecting the appropriate data, the students can determine the relationship between the acceleration of the cart and the net force exerted on the cart.  Which of the following graphs should the students produce to show the correct relationship?      a A  b C  c D  d B

College Physics
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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Students work together during an experiment about Newton’s laws.  The students use a setup that consists of a cart of known mass connected to one end of a string that is looped over a pulley of negligible friction, with its other end connected to a hanging mass.  The cart is initially at rest on a horizontal surface and rolls without slipping when released.  The inertia of the cart's wheels is negligible.  Students have access to common laboratory equipment to make measurements of components of the system.
 



By collecting the appropriate data, the students can determine the relationship between the acceleration of the cart and the net force exerted on the cart.  Which of the following graphs should the students produce to show the correct relationship?

 

 

 a
A
 b
C
 c
D
 d
B
The image contains four graphs, labeled A, B, C, and D, that depict the relationship between net force and acceleration. Each graph illustrates a different type of relationship: - **Graph A**: This graph shows a linear, upward-sloping line, indicating that as the net force increases, the acceleration also increases proportionally. This represents a direct relationship, which aligns with Newton's Second Law of Motion (\( F = ma \)). - **Graph B**: This graph presents a linear, downward-sloping line. It suggests that as the net force increases, the acceleration decreases. This is an uncommon physical scenario and could represent a conceptual error in understanding force or external constraints affecting acceleration. - **Graph C**: This graph shows a horizontal line, meaning that the acceleration remains constant regardless of changes in net force. This could imply a situation where external forces balance each other or the presence of a constant opposing force, such as friction, that counteracts acceleration. - **Graph D**: This graph illustrates a curve starting from the origin and bending upwards, indicating that acceleration increases at an increasing rate as net force increases. This could represent a non-linear relationship where factors like changing mass or resistance come into play. These graphs are used to demonstrate various theoretical relationships between net force and acceleration in the context of physics.
Transcribed Image Text:The image contains four graphs, labeled A, B, C, and D, that depict the relationship between net force and acceleration. Each graph illustrates a different type of relationship: - **Graph A**: This graph shows a linear, upward-sloping line, indicating that as the net force increases, the acceleration also increases proportionally. This represents a direct relationship, which aligns with Newton's Second Law of Motion (\( F = ma \)). - **Graph B**: This graph presents a linear, downward-sloping line. It suggests that as the net force increases, the acceleration decreases. This is an uncommon physical scenario and could represent a conceptual error in understanding force or external constraints affecting acceleration. - **Graph C**: This graph shows a horizontal line, meaning that the acceleration remains constant regardless of changes in net force. This could imply a situation where external forces balance each other or the presence of a constant opposing force, such as friction, that counteracts acceleration. - **Graph D**: This graph illustrates a curve starting from the origin and bending upwards, indicating that acceleration increases at an increasing rate as net force increases. This could represent a non-linear relationship where factors like changing mass or resistance come into play. These graphs are used to demonstrate various theoretical relationships between net force and acceleration in the context of physics.
This image illustrates a simple physics setup involving a pulley system on a table. **Diagram Explanation:** - **Cart on the Table:** A small cart is positioned on top of a horizontal table. The cart is free to move along the table and is depicted with wheels for easy motion. - **Pulley System:** At one end of the table, a pulley is mounted. The pulley is used to change the direction of the force applied to the system. - **Rope or String:** A rope or string is attached to the cart, running over the pulley. This rope connects the cart to a hanging weight below the table. - **Hanging Weight:** A weight is suspended at the opposite end of the rope. The gravitational force acting on this weight provides the pulling force that can cause the cart to move along the table. This setup is commonly used to demonstrate principles of mechanics, such as Newton's laws, tension in ropes, and the effects of friction and gravity on motion.
Transcribed Image Text:This image illustrates a simple physics setup involving a pulley system on a table. **Diagram Explanation:** - **Cart on the Table:** A small cart is positioned on top of a horizontal table. The cart is free to move along the table and is depicted with wheels for easy motion. - **Pulley System:** At one end of the table, a pulley is mounted. The pulley is used to change the direction of the force applied to the system. - **Rope or String:** A rope or string is attached to the cart, running over the pulley. This rope connects the cart to a hanging weight below the table. - **Hanging Weight:** A weight is suspended at the opposite end of the rope. The gravitational force acting on this weight provides the pulling force that can cause the cart to move along the table. This setup is commonly used to demonstrate principles of mechanics, such as Newton's laws, tension in ropes, and the effects of friction and gravity on motion.
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