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The FBD for the sled is given for you below, so we're all understanding the scenario the same way. す。 1) What is the angle between the tension and displacement vectors? A) O* B) 30° C) 45° D) 60 E) 90° F) 135° G) 180° H) 270* I) 360*

The FBD for the sled is given for you below, so we're all understanding the scenario the same way. す。 1) What is the angle between the tension and displacement vectors? A) O* B) 30° C) 45° D) 60 E) 90° F) 135° G) 180° H) 270* I) 360*

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### Scenario Description for Educational Assessment #### Concept Overview: In this assessment scenario, a team of sled dogs is tasked with pulling a 50.00 kg sled via tension through a horizontal cord. The tension in the cord has a magnitude of 85.0 N. The sled experiences friction between the waxed wood of the skis and the wet snow, acting in the opposite direction to the sled’s movement. The sled’s displacement covers a distance of 15.00 m. #### Free Body Diagram (FBD) Explanation: The Free Body Diagram (FBD) for the sled is provided to visualize the forces acting on the sled. - **\( \vec{F}_N \) (Normal Force):** This force acts vertically upwards. - **\( \vec{F}_G \) (Gravitational Force):** This force acts vertically downwards. - **\( \vec{F}_T \) (Tension Force):** This force acts horizontally to the left. - **\( \vec{f}_k \) (Kinetic Friction):** This force acts horizontally to the right. - **\( \vec{d} \) (Displacement):** This vector, indicated by a dashed line, shows the direction of the sled's movement, which is to the left (negative x-direction). The diagram also includes an x-y coordinate system with the positive y-direction upwards and the positive x-direction to the right. #### Question: 1) **What is the angle between the tension and displacement vectors?** - A) 0° - B) 30° - C) 45° - D) 60° - E) 90° - F) 135° - G) 180° - H) 270° - I) 360° ### Analysis: The tension vector (\( \vec{F}_T \)) and the displacement vector (\( \vec{d} \)) are both directed to the left. Therefore, the angle between these two vectors is 0°. **Correct Answer: A) 0°**
Transcribed Image Text:### Scenario Description for Educational Assessment #### Concept Overview: In this assessment scenario, a team of sled dogs is tasked with pulling a 50.00 kg sled via tension through a horizontal cord. The tension in the cord has a magnitude of 85.0 N. The sled experiences friction between the waxed wood of the skis and the wet snow, acting in the opposite direction to the sled’s movement. The sled’s displacement covers a distance of 15.00 m. #### Free Body Diagram (FBD) Explanation: The Free Body Diagram (FBD) for the sled is provided to visualize the forces acting on the sled. - **\( \vec{F}_N \) (Normal Force):** This force acts vertically upwards. - **\( \vec{F}_G \) (Gravitational Force):** This force acts vertically downwards. - **\( \vec{F}_T \) (Tension Force):** This force acts horizontally to the left. - **\( \vec{f}_k \) (Kinetic Friction):** This force acts horizontally to the right. - **\( \vec{d} \) (Displacement):** This vector, indicated by a dashed line, shows the direction of the sled's movement, which is to the left (negative x-direction). The diagram also includes an x-y coordinate system with the positive y-direction upwards and the positive x-direction to the right. #### Question: 1) **What is the angle between the tension and displacement vectors?** - A) 0° - B) 30° - C) 45° - D) 60° - E) 90° - F) 135° - G) 180° - H) 270° - I) 360° ### Analysis: The tension vector (\( \vec{F}_T \)) and the displacement vector (\( \vec{d} \)) are both directed to the left. Therefore, the angle between these two vectors is 0°. **Correct Answer: A) 0°**
### Understanding Angles Between Force and Displacement Vectors In physics, vectors are used to represent quantities that have both magnitude and direction. Understanding the angles between different vectors helps in analyzing forces and movements in various scenarios. #### Question 2: What is the angle between the normal force and displacement vectors? When addressing the angle between normal force and displacement vectors, consider that normal force is typically perpendicular to the displacement when dealing with flat surfaces. **Options:** - A) 0° - B) 30° - C) 45° - D) 60° - E) 90° - F) 135° - G) 180° - H) 270° - I) 360° #### Question 3: What is the angle between the weight and displacement vectors? Weight typically acts vertically downwards due to gravity. The displacement vector can vary depending on the scenario, but under typical conditions in a flat plane, it tends to be along the plane's surface. **Options:** - A) 0° - B) 30° - C) 45° - D) 60° - E) 90° - F) 135° - G) 180° - H) 270° - I) 360° #### Question 4: What is the angle between the friction and displacement vectors? Friction force acts parallel but in the opposite direction to the displacement when an object moves across a surface. Therefore, the angle is typically 180°. **Options:** - A) 0° - B) 30° - C) 45° - D) 60° - E) 90° - F) 135° - G) 180° - H) 270° - I) 360° --- To better understand these concepts, we can visualize the interactions of these forces through diagrams and vector representations: 1. **Normal Force and Displacement:** Visualize a block on a flat surface. The normal force acts upwards (perpendicular to the surface), and if the block is pushed horizontally, the displacement vector is parallel to the surface. 2. **Weight and Displacement:** Considering the same block, the weight acts downward due to gravity, while the displacement vector can be along the horizontal plane. 3. **Friction and Displacement:** When the block is moving, friction acts in the opposite direction to resist the motion. Hence, the angle
Transcribed Image Text:### Understanding Angles Between Force and Displacement Vectors In physics, vectors are used to represent quantities that have both magnitude and direction. Understanding the angles between different vectors helps in analyzing forces and movements in various scenarios. #### Question 2: What is the angle between the normal force and displacement vectors? When addressing the angle between normal force and displacement vectors, consider that normal force is typically perpendicular to the displacement when dealing with flat surfaces. **Options:** - A) 0° - B) 30° - C) 45° - D) 60° - E) 90° - F) 135° - G) 180° - H) 270° - I) 360° #### Question 3: What is the angle between the weight and displacement vectors? Weight typically acts vertically downwards due to gravity. The displacement vector can vary depending on the scenario, but under typical conditions in a flat plane, it tends to be along the plane's surface. **Options:** - A) 0° - B) 30° - C) 45° - D) 60° - E) 90° - F) 135° - G) 180° - H) 270° - I) 360° #### Question 4: What is the angle between the friction and displacement vectors? Friction force acts parallel but in the opposite direction to the displacement when an object moves across a surface. Therefore, the angle is typically 180°. **Options:** - A) 0° - B) 30° - C) 45° - D) 60° - E) 90° - F) 135° - G) 180° - H) 270° - I) 360° --- To better understand these concepts, we can visualize the interactions of these forces through diagrams and vector representations: 1. **Normal Force and Displacement:** Visualize a block on a flat surface. The normal force acts upwards (perpendicular to the surface), and if the block is pushed horizontally, the displacement vector is parallel to the surface. 2. **Weight and Displacement:** Considering the same block, the weight acts downward due to gravity, while the displacement vector can be along the horizontal plane. 3. **Friction and Displacement:** When the block is moving, friction acts in the opposite direction to resist the motion. Hence, the angle
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