Air track: two objects tied together by a string. The figure shows a glider with mass m, that moves on a level, frictionless air track in a physics lab. It is connected by a string passing over a small frictionless pulley to a hanging weight with total mass m₂. The string is light and flexible, and it doesn't stretch. (a) Find the acceleration of each object and the tension in the string. (b) What happens to the acceleration when m; is two times heavier than that of m₂? (c) Now m, is four times heavier than that of m₂. Calculate the distance between it traveled during the initial period of two (2) seconds after the glider started moving. The tract is long enough for the travel. Show your work that leads to your answer. Explain each step in your work to explanation quation WILIE TH

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### Air Track Experiment

#### Description
An air track experiment involves two objects tied together by a string. The setup consists of a glider with mass \( m_1 \) that moves on a level, frictionless air track in a physics lab. It is connected by a string passing over a small frictionless pulley to a hanging weight with total mass \( m_2 \). The string is light and flexible, ensuring it doesn't stretch.

#### Objectives
(a) **Calculate the Acceleration and Tension:**
   - Determine the acceleration of each object.
   - Find the tension in the string.

(b) **Analyze the Effect of Mass Variation:**
   - Explore the change in acceleration when \( m_1 \) is twice as heavy as \( m_2 \).

(c) **Further Exploration with Mass Adjustment:**
   - When \( m_1 \) is four times heavier than \( m_2 \), calculate the distance traveled by the glider during the initial period of two seconds after it starts moving. Show your work in detail, ensuring the track is long enough for the travel.

#### Diagram Explanation
The diagram illustrates the setup with:
- A glider labeled \( m_1 \) on a horizontal air track.
- A pulley system connecting the glider to a hanging weight.
- The track ensures frictionless movement.

This experiment is a practical application of Newton's laws of motion, focusing on frictionless environments and the effect of mass on acceleration.
Transcribed Image Text:### Air Track Experiment #### Description An air track experiment involves two objects tied together by a string. The setup consists of a glider with mass \( m_1 \) that moves on a level, frictionless air track in a physics lab. It is connected by a string passing over a small frictionless pulley to a hanging weight with total mass \( m_2 \). The string is light and flexible, ensuring it doesn't stretch. #### Objectives (a) **Calculate the Acceleration and Tension:** - Determine the acceleration of each object. - Find the tension in the string. (b) **Analyze the Effect of Mass Variation:** - Explore the change in acceleration when \( m_1 \) is twice as heavy as \( m_2 \). (c) **Further Exploration with Mass Adjustment:** - When \( m_1 \) is four times heavier than \( m_2 \), calculate the distance traveled by the glider during the initial period of two seconds after it starts moving. Show your work in detail, ensuring the track is long enough for the travel. #### Diagram Explanation The diagram illustrates the setup with: - A glider labeled \( m_1 \) on a horizontal air track. - A pulley system connecting the glider to a hanging weight. - The track ensures frictionless movement. This experiment is a practical application of Newton's laws of motion, focusing on frictionless environments and the effect of mass on acceleration.
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