Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g BA A 100 g At what point will the mass have the largest gravitational potential energy? O A O B O C O All points will have the same amount of gravitational potential energy.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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### Spring and Mass Oscillation

This diagram illustrates a mass (100 g) attached to a spring demonstrating simple harmonic motion. The sequence of images shows:

1. **Left Image:** The spring in its relaxed (equilibrium) position with no net force applied.
2. **Middle Image (Position B):** The mass is lifted to this maximum height, representing the point just after release as it begins its downward oscillation.
3. **Right Image (Position C):** The mass is shown at its lowest point after traveling downward past the equilibrium position.

**Label Descriptions:**

- **Point A:** The equilibrium position where the mass travels the fastest.
- **Point B:** The highest point in the oscillation, where the mass momentarily stops before reversing direction and starting its downward motion.
- **Point C:** The lowest point in its path, where the spring is most compressed.

**Question:**
At which point will the mass have the largest gravitational potential energy?

- ○ **A**
- ○ **B** (Correct Answer)
- ○ **C**
- ○ All points will have the same amount of gravitational potential energy.

**Explanation:** 
The mass will have the largest gravitational potential energy at Point B, the highest position in its oscillation path. Here, potential energy is maximized due to the height being greatest.
Transcribed Image Text:### Spring and Mass Oscillation This diagram illustrates a mass (100 g) attached to a spring demonstrating simple harmonic motion. The sequence of images shows: 1. **Left Image:** The spring in its relaxed (equilibrium) position with no net force applied. 2. **Middle Image (Position B):** The mass is lifted to this maximum height, representing the point just after release as it begins its downward oscillation. 3. **Right Image (Position C):** The mass is shown at its lowest point after traveling downward past the equilibrium position. **Label Descriptions:** - **Point A:** The equilibrium position where the mass travels the fastest. - **Point B:** The highest point in the oscillation, where the mass momentarily stops before reversing direction and starting its downward motion. - **Point C:** The lowest point in its path, where the spring is most compressed. **Question:** At which point will the mass have the largest gravitational potential energy? - ○ **A** - ○ **B** (Correct Answer) - ○ **C** - ○ All points will have the same amount of gravitational potential energy. **Explanation:** The mass will have the largest gravitational potential energy at Point B, the highest position in its oscillation path. Here, potential energy is maximized due to the height being greatest.
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Position B is highest point of mass 

Position C is lowest point of mass

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