**Newton’s Second Law – Part 3****Day 1 of 2**1. We will be accelerating a cart on a track by attaching a string that passes over a pulley and to which is attached a small object, a mass holder. You know intuitively that the more mass on the holder the faster the cart will accelerate. We will find how these two quantities are related. *Diagram Explanation:* There is a straight track with a cart on it. A string is attached to the cart, passes over a pulley at the end of the track, and is connected to a mass holder hanging vertically.2. Level the track to the best of your ability. Release the cart from rest. Do not allow the cart to crash at the end of the track. Describe the motion of the cart. Is it accelerating?3. Draw a free body diagram for the cart. Using the diagram, determine the net force on the cart.4. Now write down Newton’s second law of motion for the cart. In #3 you found the net force on the cart. Substitute this into the 2nd law.5. Draw a free body diagram for the mass holder. Using the diagram, determine the net force on the mass holder. **Hanging Mass Data Analysis**This table presents the data collected from an experiment involving a cart and a hanging mass. The parameters measured include the displacement (x), initial displacement (x0), time (t), mass of the cart, hanging mass, and acceleration (a).| x (m) | x0 (m) | t (s) | Mass of Cart (kg) | Hanging Mass (kg) | a (m/s²) ||-------|--------|-------|-------------------|-------------------|----------|| 0.88 | 0.33 | 0.64 | 0.565 | 0.2 | 0.2 || 0.88 | 0.33 | 0.66 | 0.565 | 0.2 | 0.2 || 0.88 | 0.33 | 0.67 | 0.565 | 0.2 | 0.2 || 0.88 | 0.33 | 0.65 | 0.565 | 0.2 | 0.2 || 0.88 | 0.33 | 0.65 | 0.565 | 0.2 | 0.2 || 0.88 | 0.33 | 0.66 | 0.565 | 0.2 | 0.2 |**Explanation of Parameters:**- **x (m):** The final displacement of the cart.- **x0 (m):** The initial displacement from which the cart started.- **t (s):** The time taken for the motion.- **Mass of Cart (kg):** The mass of the cart used in the experiment.- **Hanging Mass (kg):** The mass that is hanging, causing the cart to move.- **a (m/s²):** The acceleration calculated during the experiment.All the measured values are consistent across trials, suggesting controlled conditions and potentially precise results. This experiment can help in understanding Newton's second law of motion, analyzing the relationship between mass, force, and acceleration.

As per guidelines, first three sub-parts have been answered. 2. There is tension force in the string…

1. We will be accelerating a cart on a track by attaching a string that passes over a pulley and to which is attached a small object, a mass holder. You know intuitively that the more mass on the holder the faster the cart will accelerate. We will find how these two quantities are related. 2. Level the track to the best of your ability. Release the cart from rest. Do not allow the cart to crash at the end of the track. Describe the motion of the cart. Is it accelerating? 3. Draw a free body diagram for the cart. Using the diagram, determine the net force on the cart. 4. Now write down Newton's second law of motion for the cart. In #3 you found the net force on the cart. Substitute this into the 2nd law.

1. We will be accelerating a cart on a track by attaching a string that passes over a pulley and to which is attached a small object, a mass holder. You know intuitively that the more mass on the holder the faster the cart will accelerate. We will find how these two quantities are related. 2. Level the track to the best of your ability. Release the cart from rest. Do not allow the cart to crash at the end of the track. Describe the motion of the cart. Is it accelerating? 3. Draw a free body diagram for the cart. Using the diagram, determine the net force on the cart. 4. Now write down Newton's second law of motion for the cart. In #3 you found the net force on the cart. Substitute this into the 2nd law.

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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Question

**Newton’s Second Law – Part 3**

**Day 1 of 2**

1. We will be accelerating a cart on a track by attaching a string that passes over a pulley and to which is attached a small object, a mass holder. You know intuitively that the more mass on the holder the faster the cart will accelerate. We will find how these two quantities are related.

*Diagram Explanation:* There is a straight track with a cart on it. A string is attached to the cart, passes over a pulley at the end of the track, and is connected to a mass holder hanging vertically.

2. Level the track to the best of your ability. Release the cart from rest. Do not allow the cart to crash at the end of the track. Describe the motion of the cart. Is it accelerating?

3. Draw a free body diagram for the cart. Using the diagram, determine the net force on the cart.

4. Now write down Newton’s second law of motion for the cart. In #3 you found the net force on the cart. Substitute this into the 2nd law.

5. Draw a free body diagram for the mass holder. Using the diagram, determine the net force on the mass holder.

**Hanging Mass Data Analysis**

This table presents the data collected from an experiment involving a cart and a hanging mass. The parameters measured include the displacement (x), initial displacement (x0), time (t), mass of the cart, hanging mass, and acceleration (a).

| x (m) | x0 (m) | t (s) | Mass of Cart (kg) | Hanging Mass (kg) | a (m/s²) |
|-------|--------|-------|-------------------|-------------------|----------|
| 0.88 | 0.33 | 0.64 | 0.565 | 0.2 | 0.2 |
| 0.88 | 0.33 | 0.66 | 0.565 | 0.2 | 0.2 |
| 0.88 | 0.33 | 0.67 | 0.565 | 0.2 | 0.2 |
| 0.88 | 0.33 | 0.65 | 0.565 | 0.2 | 0.2 |
| 0.88 | 0.33 | 0.65 | 0.565 | 0.2 | 0.2 |
| 0.88 | 0.33 | 0.66 | 0.565 | 0.2 | 0.2 |

**Explanation of Parameters:**

- **x (m):** The final displacement of the cart.
- **x0 (m):** The initial displacement from which the cart started.
- **t (s):** The time taken for the motion.
- **Mass of Cart (kg):** The mass of the cart used in the experiment.
- **Hanging Mass (kg):** The mass that is hanging, causing the cart to move.
- **a (m/s²):** The acceleration calculated during the experiment.

All the measured values are consistent across trials, suggesting controlled conditions and potentially precise results. This experiment can help in understanding Newton's second law of motion, analyzing the relationship between mass, force, and acceleration.

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