As a roller coaster car descends a hill, which of the following is true of the kinetic and gravitational potential energies of the car?
Kinetic Energy: Increases | Potential Energy: Decreases
As the roller coaster car descends a hill, its gravitational potential energy is converted into kinetic energy, resulting in an increase in speed. This transformation is governed by the law of conservation of energy, where the total mechanical energy remains constant in the absence of friction, leading to a decrease in potential energy and a corresponding increase in kinetic energy.
This choice accurately reflects the energy transformations occurring as the roller coaster descends. As the car moves lower in height, the gravitational potential energy decreases because it is losing height, while the kinetic energy increases due to the acceleration caused by gravity, resulting in a faster speed.
This option incorrectly suggests that as the car descends, its kinetic energy decreases and potential energy increases. In reality, the opposite occurs; the car speeds up (increasing kinetic energy) as it loses height (decreasing potential energy). This choice misrepresents the energy dynamics involved in the descent.
While potential energy does decrease as the car descends, the assertion that kinetic energy remains constant is false. The car gains speed as it descends, which means kinetic energy must increase. Therefore, this option fails to accurately depict the changes in energy during the descent.
This choice is incorrect because both forms of energy are not constant. As the roller coaster descends, potential energy decreases while kinetic energy increases, contradicting the idea that both remain unchanged. Energy transformations are key to understanding the motion of the roller coaster.
In summary, as a roller coaster car descends a hill, gravitational potential energy is converted into kinetic energy, leading to an increase in speed and a corresponding decrease in potential energy. Choice A correctly captures this relationship, while the other options fail to understand the fundamental principles of energy conservation and transformation in a gravitational field.
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