A woman who weighs 602 N sits on a chair with her feet on the floor and her arms resting on the chair’s armrests. The chair weighs 100 N. Each armrest exerts an upward force of 25.0 N on her arms. The seat of the chair exerts an upward force of 500 N. a. What force does the floor exert on her feet? Enter your answer as positive for upward direction and negative for downward direction. asnwer in N b. What force does the floor exert on the chair? Enter your answer as positive for upward direction and negative for downward direction. answer in N c. Consider the woman and the chair to be a single system. Let the subscripts be the following: s = woman and chair system, e = Earth, f = floor. Choose the correct FBD for this system that includes only the external forces acting on it. (OPTIONS ATTACHED)

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A woman who weighs 602 N sits on a chair with her feet on the floor and her arms resting on the chair’s armrests. The chair weighs 100 N. Each armrest exerts an upward force of 25.0 N on her arms. The seat of the chair exerts an upward force of 500 N.

a. What force does the floor exert on her feet? Enter your answer as positive for upward direction and negative for downward direction. asnwer in N

b. What force does the floor exert on the chair? Enter your answer as positive for upward direction and negative for downward direction. answer in N

c. Consider the woman and the chair to be a single system. Let the subscripts be the following: s = woman and chair system, e = Earth, f = floor. Choose the correct FBD for this system that includes only the external forces acting on it. (OPTIONS ATTACHED)

 

 

 

### Understanding Forces in Physics

In the study of physics, forces and their interactions with objects can be visualized using force diagrams. Below, we have two examples that help explain these interactions.

#### Diagram 1: External Forces on an Object

![Diagram 1](link-to-diagram-1)

This diagram illustrates an object subject to two forces:

1. **Upward Force (\(\vec{F}_{\text{ef}}\))**: This force is exerted upwards, potentially representing an external force such as a tension force or a normal force.
2. **Downward Weight (\(\vec{W}_{\text{es}}\))**: This force represents the weight of the object, which always acts downward due to gravity.

The arrows indicate the direction of the forces, and the magnitudes can vary depending on the specific situation being analyzed.

#### Diagram 2: External and Support Forces on an Object

![Diagram 2](link-to-diagram-2)

This diagram shows an object acted upon by another set of forces:

1. **Upward Support Force (\(\vec{F}_{\text{sf}}\))**: This force acts upward, representing the support force which might be exerted by a surface, like a table or the ground.
2. **Downward Weight (\(\vec{W}_{\text{se}}\))**: Similar to the first diagram, this force illustrates the weight of the object, directed downwards due to gravity.

### Key Concepts

- **Forces (\(\vec{F}\))**: They can be contact forces (like tension or friction) or non-contact forces (like gravitational force).
- **Weight (\(\vec{W}\))**: This is the gravitational force that the Earth exerts on the object, calculated as \( W = mg \) where \(m\) is the mass of the object and \(g\) is the acceleration due to gravity (\(9.8 \, \text{m/s}^2\)).

Understanding these forces and how they interact helps in analyzing the motion or equilibrium of objects in various scenarios.
Transcribed Image Text:### Understanding Forces in Physics In the study of physics, forces and their interactions with objects can be visualized using force diagrams. Below, we have two examples that help explain these interactions. #### Diagram 1: External Forces on an Object ![Diagram 1](link-to-diagram-1) This diagram illustrates an object subject to two forces: 1. **Upward Force (\(\vec{F}_{\text{ef}}\))**: This force is exerted upwards, potentially representing an external force such as a tension force or a normal force. 2. **Downward Weight (\(\vec{W}_{\text{es}}\))**: This force represents the weight of the object, which always acts downward due to gravity. The arrows indicate the direction of the forces, and the magnitudes can vary depending on the specific situation being analyzed. #### Diagram 2: External and Support Forces on an Object ![Diagram 2](link-to-diagram-2) This diagram shows an object acted upon by another set of forces: 1. **Upward Support Force (\(\vec{F}_{\text{sf}}\))**: This force acts upward, representing the support force which might be exerted by a surface, like a table or the ground. 2. **Downward Weight (\(\vec{W}_{\text{se}}\))**: Similar to the first diagram, this force illustrates the weight of the object, directed downwards due to gravity. ### Key Concepts - **Forces (\(\vec{F}\))**: They can be contact forces (like tension or friction) or non-contact forces (like gravitational force). - **Weight (\(\vec{W}\))**: This is the gravitational force that the Earth exerts on the object, calculated as \( W = mg \) where \(m\) is the mass of the object and \(g\) is the acceleration due to gravity (\(9.8 \, \text{m/s}^2\)). Understanding these forces and how they interact helps in analyzing the motion or equilibrium of objects in various scenarios.
## Diagrams of Forces Acting on a Square Object

### Diagram 1: Forces on the Side of the Object

This diagram illustrates two forces acting vertically on a square object from its side:

1. **Force \( \vec{F}_{sc} \)**: An upward vertical force applied on the object.
2. **Weight \( \vec{W}_{sf} \)**: A downward vertical force indicating the object's weight.

Both forces are depicted with arrows indicating direction: \( \vec{F}_{sc} \) is directed upwards, and \( \vec{W}_{sf} \) is directed downwards.

### Diagram 2: Forces on the Front of the Object

This diagram shows a similar setup, but the forces are acting from the front of the object:

1. **Force \( \vec{F}_{fs} \)**: An upward vertical force applied on the object.
2. **Weight \( \vec{W}_{fe} \)**: A downward vertical force indicating the object's weight.

Again, the arrows show the direction of the forces: \( \vec{F}_{fs} \) points upwards, and \( \vec{W}_{fe} \) points downwards. 

These diagrams are commonly used in physics and engineering to analyze force dynamics on objects. Arrows are often used to represent vector quantities, where the direction of the arrow shows the direction of the force and the length may represent the magnitude.
Transcribed Image Text:## Diagrams of Forces Acting on a Square Object ### Diagram 1: Forces on the Side of the Object This diagram illustrates two forces acting vertically on a square object from its side: 1. **Force \( \vec{F}_{sc} \)**: An upward vertical force applied on the object. 2. **Weight \( \vec{W}_{sf} \)**: A downward vertical force indicating the object's weight. Both forces are depicted with arrows indicating direction: \( \vec{F}_{sc} \) is directed upwards, and \( \vec{W}_{sf} \) is directed downwards. ### Diagram 2: Forces on the Front of the Object This diagram shows a similar setup, but the forces are acting from the front of the object: 1. **Force \( \vec{F}_{fs} \)**: An upward vertical force applied on the object. 2. **Weight \( \vec{W}_{fe} \)**: A downward vertical force indicating the object's weight. Again, the arrows show the direction of the forces: \( \vec{F}_{fs} \) points upwards, and \( \vec{W}_{fe} \) points downwards. These diagrams are commonly used in physics and engineering to analyze force dynamics on objects. Arrows are often used to represent vector quantities, where the direction of the arrow shows the direction of the force and the length may represent the magnitude.
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