1) A ball of mass m = 300 g is released from rest a at a height h = 45 cm above a vertical spring of force constant k as shown in figure a to the right. The ball strikes the top of the spring and compresses it a distance d = 15 cm as shown in figure b.

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Chapter1: Units, Trigonometry. And Vectors
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**E)** Calculate the speed with which the ball hits the spring using the Law of Conservation of Energy. Why doesn’t the speed of the ball depend on the reference level you have chosen?
Transcribed Image Text:**E)** Calculate the speed with which the ball hits the spring using the Law of Conservation of Energy. Why doesn’t the speed of the ball depend on the reference level you have chosen?
### Recitation of Conservation of Energy

1) A ball of mass \( m = 300 \, g \) is released from rest at a height \( h = 45 \, cm \) above a vertical spring with a force constant \( k \), as shown in figure a to the right. The ball strikes the top of the spring and compresses it a distance \( d = 15 \, cm \) as illustrated in figure b.

**Explanation of Diagrams (Figures a and b):**

- **Figure a** likely depicts the initial position where the ball is at rest at a height \( h \) above the spring.
  
- **Figure b** shows the ball compressing the spring by a distance \( d \), indicating the point of maximum compression.

This exercise demonstrates the principles of energy conservation, where gravitational potential energy is converted into elastic potential energy within the spring.
Transcribed Image Text:### Recitation of Conservation of Energy 1) A ball of mass \( m = 300 \, g \) is released from rest at a height \( h = 45 \, cm \) above a vertical spring with a force constant \( k \), as shown in figure a to the right. The ball strikes the top of the spring and compresses it a distance \( d = 15 \, cm \) as illustrated in figure b. **Explanation of Diagrams (Figures a and b):** - **Figure a** likely depicts the initial position where the ball is at rest at a height \( h \) above the spring. - **Figure b** shows the ball compressing the spring by a distance \( d \), indicating the point of maximum compression. This exercise demonstrates the principles of energy conservation, where gravitational potential energy is converted into elastic potential energy within the spring.
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