To answer the questions below, it may be useful to think of your friend's car driving on a level road on the surface of the Earth, or maybe in space accelerating upwards at 9.8 m/s² (or some other rate of acceleration, depending on the question). 1) Rearview mirror Spring Fuzzy dice Your friend starts out by hanging is fuzzy dice from a spring. On the surface of the Earth, he finds the length of the spring to be 8.2 cm. With his car drifting in space (as in diagram B, above) he finds the length of the spring to be 3.3 cm. What would be the length of the spring in a situation similar to diagram C above, if the car were accelerating upward at a rate of 9.8 m/s²? cm Submit 2) What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 11.8 m/s? cm Submit 3) What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 6 m/s?? cm Submit

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To answer the questions below, it may be useful to think of your friend’s car driving on a level road on the surface of the Earth, or maybe in space accelerating upwards at 9.8 m/s² (or some other rate of acceleration, depending on the question).

**Diagram Explanation:**

There is a diagram showing a rearview mirror with a spring hanging from it, ending in fuzzy dice.

1) Your friend starts out by hanging his fuzzy dice from a spring. On the surface of the Earth, he finds the length of the spring to be 8.2 cm. With his car drifting in space (as in diagram B, above) he finds the length of the spring to be 3.3 cm. What would be the length of the spring in a situation similar to diagram C above, if the car were accelerating upward at a rate of 9.8 m/s²?

[Text Box: ____ cm] [Submit Button]

2) What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 11.8 m/s²?

[Text Box: ____ cm] [Submit Button]

3) What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 6 m/s²?

[Text Box: ____ cm] [Submit Button]
Transcribed Image Text:To answer the questions below, it may be useful to think of your friend’s car driving on a level road on the surface of the Earth, or maybe in space accelerating upwards at 9.8 m/s² (or some other rate of acceleration, depending on the question). **Diagram Explanation:** There is a diagram showing a rearview mirror with a spring hanging from it, ending in fuzzy dice. 1) Your friend starts out by hanging his fuzzy dice from a spring. On the surface of the Earth, he finds the length of the spring to be 8.2 cm. With his car drifting in space (as in diagram B, above) he finds the length of the spring to be 3.3 cm. What would be the length of the spring in a situation similar to diagram C above, if the car were accelerating upward at a rate of 9.8 m/s²? [Text Box: ____ cm] [Submit Button] 2) What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 11.8 m/s²? [Text Box: ____ cm] [Submit Button] 3) What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 6 m/s²? [Text Box: ____ cm] [Submit Button]
**Educator's Note: Understanding Motion in a Vehicle**

While seated in the back seat of a car moving at a constant speed on a level road, you observe a hanging set of fuzzy dice. Initially, they hang straight down due to the car's constant speed and lack of acceleration.

**Scenario: Change in Motion**

Your friend, who is driving, performs a different maneuver. You observe that the dice now hang at an angle. The diagram shows the rearview mirror, a string, and fuzzy dice hanging at an angle to the left.

**Questions and Diagrams for Analysis:**

1. **What did your friend do to make this happen?**
   - The options for actions:
     - He turned left.
     - He turned right.
     - He sped up.
     - He slowed down.

2. **Correct Explanation:**

   - The correct explanation of the dice moving left:
     - The car moved to the right and the dice tended to move straight ahead with constant velocity, indicating an inertial effect.

3. **Analyzing Forces and Motion:**
   - **Question 6:** The angle θ between the string and the vertical is 23 degrees. Calculate the normal (radial) component of the car's acceleration at this time.
     - Formula hint: Consider radial acceleration and angle dynamics.

4. **Curved Motion Calculation:**
   - **Question 7:** Given that the car moves around a curve with a radius of 43 m, calculate the speed of the car based on the diagram's scenario.

This educational exercise illustrates how observing the behavior of objects in a vehicle can help us understand underlying principles of physics such as inertia and centripetal acceleration. Use these observations and calculations to deepen your understanding of motion and forces.
Transcribed Image Text:**Educator's Note: Understanding Motion in a Vehicle** While seated in the back seat of a car moving at a constant speed on a level road, you observe a hanging set of fuzzy dice. Initially, they hang straight down due to the car's constant speed and lack of acceleration. **Scenario: Change in Motion** Your friend, who is driving, performs a different maneuver. You observe that the dice now hang at an angle. The diagram shows the rearview mirror, a string, and fuzzy dice hanging at an angle to the left. **Questions and Diagrams for Analysis:** 1. **What did your friend do to make this happen?** - The options for actions: - He turned left. - He turned right. - He sped up. - He slowed down. 2. **Correct Explanation:** - The correct explanation of the dice moving left: - The car moved to the right and the dice tended to move straight ahead with constant velocity, indicating an inertial effect. 3. **Analyzing Forces and Motion:** - **Question 6:** The angle θ between the string and the vertical is 23 degrees. Calculate the normal (radial) component of the car's acceleration at this time. - Formula hint: Consider radial acceleration and angle dynamics. 4. **Curved Motion Calculation:** - **Question 7:** Given that the car moves around a curve with a radius of 43 m, calculate the speed of the car based on the diagram's scenario. This educational exercise illustrates how observing the behavior of objects in a vehicle can help us understand underlying principles of physics such as inertia and centripetal acceleration. Use these observations and calculations to deepen your understanding of motion and forces.
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