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Multiple Choice
Which of the following statements best explains the relationship between potential energy and kinetic energy in terms of energy transfer?
A
Kinetic energy increases as potential energy remains constant.
B
Kinetic energy is converted into potential energy when an object is at rest.
C
Potential energy and kinetic energy are always equal in a closed system.
D
Potential energy is converted into kinetic energy as an object falls.
Verified step by step guidance
1
Begin by understanding the concepts of potential energy and kinetic energy. Potential energy is the energy stored in an object due to its position or configuration, often related to height in gravitational systems. Kinetic energy is the energy of motion, dependent on the object's mass and velocity.
Consider the scenario of an object falling under the influence of gravity. As the object falls, its height decreases, which means its gravitational potential energy decreases.
According to the law of conservation of energy, energy cannot be created or destroyed, only transformed from one form to another. As the potential energy decreases, it is converted into kinetic energy, causing the object's speed to increase.
Mathematically, the potential energy (PE) can be expressed as , where is mass, is acceleration due to gravity, and is height. Kinetic energy (KE) is given by , where is velocity.
As the object falls, the decrease in potential energy is equal to the increase in kinetic energy, maintaining the total energy of the system constant. This illustrates the conversion of potential energy into kinetic energy during the fall.