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C. How does the direction of the net force on the ball in motion 2 compare to the direction of the net force on the ball in motion 1? Explain. Is the direction of the acceleration of the ball in motion 2 consistent with the fact that the ball speeds up and its trajectory curves? Explain.

C. How does the direction of the net force on the ball in motion 2 compare to the direction of the net force on the ball in motion 1? Explain. Is the direction of the acceleration of the ball in motion 2 consistent with the fact that the ball speeds up and its trajectory curves? Explain.

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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The 1st image is only for more info. I need help with the 2nd image, questions C and D.

**Changes in Energy and Momentum** **C.** How does the direction of the net force on the ball in motion 2 compare to the direction of the net force on the ball in motion 1? Explain. Is the direction of the acceleration of the ball in motion 2 consistent with the fact that the ball speeds up and its trajectory curves? Explain. **D.** How does the change in kinetic energy of the ball in motion 1 compare to the change in kinetic energy of the ball in motion 2? 1. Is your answer consistent with the net work done on the ball in motions 1 and 2? Explain. 2. How does the final speed of the ball in motion 1 compare to the final speed in motion 2? Explain. **E.** For motion 1, draw vectors in region II of the enlargement that represent the momentum of the ball at the top of the ramp and at the bottom of the ramp (i.e., at the top and bottom of region II). Use these vectors to construct the change in momentum vector \(\Delta p\). How is the direction of \(\Delta p\) related to the direction of the net force on the ball as it rolls down the ramp? Is your answer consistent with the impulse-momentum theorem?
Transcribed Image Text:**Changes in Energy and Momentum** **C.** How does the direction of the net force on the ball in motion 2 compare to the direction of the net force on the ball in motion 1? Explain. Is the direction of the acceleration of the ball in motion 2 consistent with the fact that the ball speeds up and its trajectory curves? Explain. **D.** How does the change in kinetic energy of the ball in motion 1 compare to the change in kinetic energy of the ball in motion 2? 1. Is your answer consistent with the net work done on the ball in motions 1 and 2? Explain. 2. How does the final speed of the ball in motion 1 compare to the final speed in motion 2? Explain. **E.** For motion 1, draw vectors in region II of the enlargement that represent the momentum of the ball at the top of the ramp and at the bottom of the ramp (i.e., at the top and bottom of region II). Use these vectors to construct the change in momentum vector \(\Delta p\). How is the direction of \(\Delta p\) related to the direction of the net force on the ball as it rolls down the ramp? Is your answer consistent with the impulse-momentum theorem?
**Changes in Energy and Momentum** ### II. Applying the Work-Energy and Impulse-Momentum Theorems **Experimental Setup:** To perform this experiment, you will need a wedge, a ball, a cardboard ramp, and enlargements of the two diagrams shown below (or sketch them on a large sheet of paper). **Note:** It is important that each time the ball is rolled, it has the same speed on the level region I. Place a mark halfway up the wedge and release the ball from the mark each time. Ignore friction and the rotation of the ball. **(Image):** The image depicts a wedge setup with a ball placed halfway up the wedge, ready to be released. The ramp is divided into three regions labeled I, II, and III. --- #### A. Motion 1 1. **Setup:** Release the ball so that it rolls straight toward the ramp. 2. **Observation:** Observe the motion of the ball. 3. **Action:** Sketch the trajectory of the ball on an enlargement for motion 1. 4. **Analysis:** On the enlargement, draw arrows to show the directions of: - The acceleration of the ball. - The net force on the ball while it is on the ramp (i.e., in region II). **(Diagram for Motion 1):** - **Top View:** The diagram shows the starting wedge and the clear path of the ball moving straight from region I through region II, and into region III. --- #### B. Motion 2 1. **Setup:** Release the ball at an angle to the ramp as shown. 2. **Observation:** Observe the motion of the ball. 3. **Action:** Sketch the trajectory of the ball on an enlargement for motion 2. 4. **Analysis:** On the enlargement, draw arrows to show the directions of: - The acceleration of the ball. - The net force on the ball while it is on the ramp (i.e., in region II). **(Diagram for Motion 2):** - **Top View:** The diagram shows the starting wedge and the ball's trajectory angled toward the ramp, proceeding through region I, region II, and into region III. --- By analyzing the motion and forces involved in both configurations, you will gain a deeper understanding of the work-energy and impulse-momentum theorems.
Transcribed Image Text:**Changes in Energy and Momentum** ### II. Applying the Work-Energy and Impulse-Momentum Theorems **Experimental Setup:** To perform this experiment, you will need a wedge, a ball, a cardboard ramp, and enlargements of the two diagrams shown below (or sketch them on a large sheet of paper). **Note:** It is important that each time the ball is rolled, it has the same speed on the level region I. Place a mark halfway up the wedge and release the ball from the mark each time. Ignore friction and the rotation of the ball. **(Image):** The image depicts a wedge setup with a ball placed halfway up the wedge, ready to be released. The ramp is divided into three regions labeled I, II, and III. --- #### A. Motion 1 1. **Setup:** Release the ball so that it rolls straight toward the ramp. 2. **Observation:** Observe the motion of the ball. 3. **Action:** Sketch the trajectory of the ball on an enlargement for motion 1. 4. **Analysis:** On the enlargement, draw arrows to show the directions of: - The acceleration of the ball. - The net force on the ball while it is on the ramp (i.e., in region II). **(Diagram for Motion 1):** - **Top View:** The diagram shows the starting wedge and the clear path of the ball moving straight from region I through region II, and into region III. --- #### B. Motion 2 1. **Setup:** Release the ball at an angle to the ramp as shown. 2. **Observation:** Observe the motion of the ball. 3. **Action:** Sketch the trajectory of the ball on an enlargement for motion 2. 4. **Analysis:** On the enlargement, draw arrows to show the directions of: - The acceleration of the ball. - The net force on the ball while it is on the ramp (i.e., in region II). **(Diagram for Motion 2):** - **Top View:** The diagram shows the starting wedge and the ball's trajectory angled toward the ramp, proceeding through region I, region II, and into region III. --- By analyzing the motion and forces involved in both configurations, you will gain a deeper understanding of the work-energy and impulse-momentum theorems.
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