The figure shows an 7.6 kg stone at rest on a spring. The spring is compressed 9.9 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 29 cm and released.VWhat is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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The image depicts a physics problem involving a 7.6 kg stone resting on a spring. The spring is initially compressed by 9.9 cm due to the stone's weight. The stone is then pushed down an additional 29 cm and released. Several questions are posed regarding this scenario:

1. **(a) What is the spring constant?**
   - This question requires you to calculate the spring constant (k) using the initial compression and the weight of the stone.

2. **(b) What is the elastic potential energy of the compressed spring just before that release?**
   - Calculate the potential energy stored in the spring when it is compressed by the total of 9.9 cm + 29 cm.

3. **(c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height?**
   - Determine how much gravitational potential energy changes as the stone moves upward.

4. **(d) What is that maximum height, measured from the release point?**
   - Find the maximum height reached by the stone from its release point using energy calculations.

Additionally, there is a diagram showing the stone atop a spring labeled with “k,” representing the spring constant. This diagram helps visualize the problem setup but does not contain any additional data beyond what's described above.
Transcribed Image Text:The image depicts a physics problem involving a 7.6 kg stone resting on a spring. The spring is initially compressed by 9.9 cm due to the stone's weight. The stone is then pushed down an additional 29 cm and released. Several questions are posed regarding this scenario: 1. **(a) What is the spring constant?** - This question requires you to calculate the spring constant (k) using the initial compression and the weight of the stone. 2. **(b) What is the elastic potential energy of the compressed spring just before that release?** - Calculate the potential energy stored in the spring when it is compressed by the total of 9.9 cm + 29 cm. 3. **(c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height?** - Determine how much gravitational potential energy changes as the stone moves upward. 4. **(d) What is that maximum height, measured from the release point?** - Find the maximum height reached by the stone from its release point using energy calculations. Additionally, there is a diagram showing the stone atop a spring labeled with “k,” representing the spring constant. This diagram helps visualize the problem setup but does not contain any additional data beyond what's described above.
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