A spring with spring constant 26 N/m is compressed a distance of 8.5 cm by a ball with a mass of 220.5 g (see figure below). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 8.5 cm and is also released, leaving the spring at point A. Assume the ball rolls, but ignore other effects of friction. (Assume that the ball is a solid ball.) B (a) What is the speed of the ball at point B? 0.015 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s (b) What is the speed of the block at point B? 0.015 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s

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Chapter1: Units, Trigonometry. And Vectors
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**Educational Content: Understanding Energy and Motion in a Spring System**

**Scenario:**
A spring with a spring constant of 26 N/m is compressed a distance of 8.5 cm by a ball with a mass of 220.5 g. The figure below illustrates this setup. The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated using a block instead of the ball, with a mass identical to that of the ball. The block compresses the spring by 8.5 cm and is also released, leaving the spring at point A. Assume the ball rolls, but ignore other effects of friction. The ball is considered a solid ball.

**Diagram Explanation:**
The diagram shows a spring compressed by a solid ball at point A, on a horizontal surface, with point B representing the point where the velocity of the object (ball or block) needs to be determined.

**Questions:**

(a) What is the speed of the ball at point B?
- Attempted Answer: 0.015 m/s
- Feedback: Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.

(b) What is the speed of the block at point B?
- Attempted Answer: 0.015 m/s
- Feedback: Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.

**Key Concepts:**
- Understand the conversion of potential energy stored in the spring into kinetic energy of the ball or block.
- Apply the principle of conservation of energy to determine the speed at different points.
- Consider the differences in motion dynamics between a rolling ball and a sliding block.

This exercise emphasizes careful analysis and recalculation to achieve accurate results in physics experiments related to springs and motion.
Transcribed Image Text:**Educational Content: Understanding Energy and Motion in a Spring System** **Scenario:** A spring with a spring constant of 26 N/m is compressed a distance of 8.5 cm by a ball with a mass of 220.5 g. The figure below illustrates this setup. The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated using a block instead of the ball, with a mass identical to that of the ball. The block compresses the spring by 8.5 cm and is also released, leaving the spring at point A. Assume the ball rolls, but ignore other effects of friction. The ball is considered a solid ball. **Diagram Explanation:** The diagram shows a spring compressed by a solid ball at point A, on a horizontal surface, with point B representing the point where the velocity of the object (ball or block) needs to be determined. **Questions:** (a) What is the speed of the ball at point B? - Attempted Answer: 0.015 m/s - Feedback: Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. (b) What is the speed of the block at point B? - Attempted Answer: 0.015 m/s - Feedback: Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. **Key Concepts:** - Understand the conversion of potential energy stored in the spring into kinetic energy of the ball or block. - Apply the principle of conservation of energy to determine the speed at different points. - Consider the differences in motion dynamics between a rolling ball and a sliding block. This exercise emphasizes careful analysis and recalculation to achieve accurate results in physics experiments related to springs and motion.
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