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Multiple Choice
How are kinetic energy and potential energy related in a closed system?
A
Potential energy is converted into kinetic energy, but the total energy decreases over time.
B
The total energy is conserved, meaning the sum of kinetic and potential energy remains constant.
C
Kinetic energy is always greater than potential energy in a closed system.
D
Kinetic energy and potential energy are unrelated and vary independently.
Verified step by step guidance
1
Begin by understanding the concept of a closed system in physics. A closed system is one where no energy is lost to the surroundings; energy can be transformed within the system but the total energy remains constant.
Recognize the principle of conservation of energy. In a closed system, the total energy, which is the sum of kinetic energy (KE) and potential energy (PE), remains constant over time. This is expressed as: .
Understand the transformation between kinetic and potential energy. In many physical systems, potential energy can be converted into kinetic energy and vice versa. For example, in a pendulum, potential energy is highest at the peak of its swing and is converted to kinetic energy as it moves downward.
Consider examples of energy conservation. In a roller coaster, at the highest point, the potential energy is maximum and kinetic energy is minimum. As it descends, potential energy decreases while kinetic energy increases, but the total energy remains constant.
Clarify misconceptions: Kinetic energy is not always greater than potential energy in a closed system, nor are they unrelated. They are interdependent and their sum is conserved, meaning they can transform into each other while maintaining the total energy constant.