A box is being pulled up a hill at constant speed. Select all of the true statements about the energy for this situation. The kinetic energy is increasing The gravitational potential energy is staying the same The gravitational potential energy is decreasing The gravitational potential energy is increasing The kinetic energy is decreasing The kinetic energy is staying the same

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Energy Concepts in Motion: Gravitational Potential and Kinetic Energy**

**Scenario:**
A box is being pulled up a hill at constant speed. Consider the following statements and determine which accurately describe the energy changes occurring in this situation.

**Statements:**

1. ☑ The kinetic energy is increasing
2. ⬜ The gravitational potential energy is staying the same
3. ⬜ The gravitational potential energy is decreasing
4. ☑ The gravitational potential energy is increasing
5. ⬜ The kinetic energy is decreasing
6. ⬜ The kinetic energy is staying the same

**Explanation:**
When analyzing the energy changes as the box is pulled uphill at a constant speed:

- **Kinetic Energy:** Since the box is moving at a constant speed, its kinetic energy does not increase or decrease. Hence, the correct statement should be that the kinetic energy is staying the same.

- **Gravitational Potential Energy:** As the box moves uphill, it gains height, which means its gravitational potential energy increases. Therefore, the statement indicating that gravitational potential energy is increasing is true.

In summary, the correct true statement is:
   - ☑ The gravitational potential energy is increasing

The incorrect selections:
   - ☑ The kinetic energy is increasing (This should be unchecked as the speed is constant and so is kinetic energy)

This scenario illustrates the principles of energy conservation and transformation between potential and kinetic energies in motion on an incline.
Transcribed Image Text:**Energy Concepts in Motion: Gravitational Potential and Kinetic Energy** **Scenario:** A box is being pulled up a hill at constant speed. Consider the following statements and determine which accurately describe the energy changes occurring in this situation. **Statements:** 1. ☑ The kinetic energy is increasing 2. ⬜ The gravitational potential energy is staying the same 3. ⬜ The gravitational potential energy is decreasing 4. ☑ The gravitational potential energy is increasing 5. ⬜ The kinetic energy is decreasing 6. ⬜ The kinetic energy is staying the same **Explanation:** When analyzing the energy changes as the box is pulled uphill at a constant speed: - **Kinetic Energy:** Since the box is moving at a constant speed, its kinetic energy does not increase or decrease. Hence, the correct statement should be that the kinetic energy is staying the same. - **Gravitational Potential Energy:** As the box moves uphill, it gains height, which means its gravitational potential energy increases. Therefore, the statement indicating that gravitational potential energy is increasing is true. In summary, the correct true statement is: - ☑ The gravitational potential energy is increasing The incorrect selections: - ☑ The kinetic energy is increasing (This should be unchecked as the speed is constant and so is kinetic energy) This scenario illustrates the principles of energy conservation and transformation between potential and kinetic energies in motion on an incline.
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