Figure 10.29 in your textbook is an energy bar chart for a mountain cli supplies up a slope. Suppose, instead, she uses the rope to lower the Which of the bars of the chart will be negative?

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**Title:** Understanding Energy Bar Charts in Mountain Climbing Scenarios

**Text:**

*Figure 10.29 in your textbook is an energy bar chart for a mountain climber pulling a bag of supplies up a slope. Suppose, instead, she uses the rope to lower the bag down the slope. Which of the bars of the chart will be negative?*

**Select all that apply:**

- [ ] \( K_i \) 
- [ ] \( K_f \) 
- [ ] \( U_i \)
- [ ] \( U_f \)
- [ ] \( W_{\text{ext}} \)
- [ ] \( \Delta E_{\text{th}} \)

**Explanation:**

In this scenario, we are analyzing the energy components involved when a mountain climber lowers a bag down a slope with a rope. An energy bar chart helps visualize different forms of energy (like kinetic and potential energy) and work done by external forces, showing increases or decreases as bars on a chart.

- \( K_i \) and \( K_f \): Initial and final kinetic energy. These indicate how the motion energy changes.
- \( U_i \) and \( U_f \): Initial and final potential energy. These relate to the height difference when the climber lowers the bag, which can decrease potential energy.
- \( W_{\text{ext}} \): Work done by external forces. This can decrease if the work is done against gravity.
- \( \Delta E_{\text{th}} \): Change in thermal energy. This comes from friction and can increase, though not typically negative.

When lowering the bag, gravitational potential energy (\( U \)) is likely to decrease, so \( U_f \) might be negative in relative terms, depending on the system’s energy accounting method.
Transcribed Image Text:**Title:** Understanding Energy Bar Charts in Mountain Climbing Scenarios **Text:** *Figure 10.29 in your textbook is an energy bar chart for a mountain climber pulling a bag of supplies up a slope. Suppose, instead, she uses the rope to lower the bag down the slope. Which of the bars of the chart will be negative?* **Select all that apply:** - [ ] \( K_i \) - [ ] \( K_f \) - [ ] \( U_i \) - [ ] \( U_f \) - [ ] \( W_{\text{ext}} \) - [ ] \( \Delta E_{\text{th}} \) **Explanation:** In this scenario, we are analyzing the energy components involved when a mountain climber lowers a bag down a slope with a rope. An energy bar chart helps visualize different forms of energy (like kinetic and potential energy) and work done by external forces, showing increases or decreases as bars on a chart. - \( K_i \) and \( K_f \): Initial and final kinetic energy. These indicate how the motion energy changes. - \( U_i \) and \( U_f \): Initial and final potential energy. These relate to the height difference when the climber lowers the bag, which can decrease potential energy. - \( W_{\text{ext}} \): Work done by external forces. This can decrease if the work is done against gravity. - \( \Delta E_{\text{th}} \): Change in thermal energy. This comes from friction and can increase, though not typically negative. When lowering the bag, gravitational potential energy (\( U \)) is likely to decrease, so \( U_f \) might be negative in relative terms, depending on the system’s energy accounting method.
The image displays a bar chart representing an energy conservation equation in physics. The equation is broken down as follows:

- The left side of the equation shows the initial energies and work done: 
  1. \( K_i \) (initial kinetic energy) - represented by a small green bar.
  2. \( U_i \) (initial potential energy) - represented by a tiny blue bar, nearly at zero.
  3. \( W_{ext} \) (external work done) - represented by a tall purple bar.

- The right side of the equation shows the final energies:
  1. \( K_f \) (final kinetic energy) - represented by a tall blue bar.
  2. \( U_f \) (final potential energy) - represented by a small green bar, similar in size to \( K_i \).
  3. \( \Delta E_{th} \) (change in thermal energy) - represented by a medium-sized orange bar.

The equation demonstrates the principle of energy conservation, illustrating how initial energies and work impact the final energy states.
Transcribed Image Text:The image displays a bar chart representing an energy conservation equation in physics. The equation is broken down as follows: - The left side of the equation shows the initial energies and work done: 1. \( K_i \) (initial kinetic energy) - represented by a small green bar. 2. \( U_i \) (initial potential energy) - represented by a tiny blue bar, nearly at zero. 3. \( W_{ext} \) (external work done) - represented by a tall purple bar. - The right side of the equation shows the final energies: 1. \( K_f \) (final kinetic energy) - represented by a tall blue bar. 2. \( U_f \) (final potential energy) - represented by a small green bar, similar in size to \( K_i \). 3. \( \Delta E_{th} \) (change in thermal energy) - represented by a medium-sized orange bar. The equation demonstrates the principle of energy conservation, illustrating how initial energies and work impact the final energy states.
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