The sum of potential and kinetic energy is called "mechanical energy". This is NOT conserved, though - unless you consider the microscopic scale, in which case (for example) heat energy is a type of kinetic energy. In this case, the sum is simply the total energy, and the total energy IS conserved.
The mechanical energy of the ball is conserved as it falls freely in a vacuum, meaning the sum of its potential and kinetic energy remains constant. Additionally, the total momentum of the ball is conserved during its free fall.
Potential energy of an object due to its motion and position with respect to gravity. It is conserved in a closed system where only conservative forces are at play.
The sum of kinetic and gravitational potential energy remains constant for a closed system in the absence of external forces. As kinetic energy increases, gravitational potential energy decreases, and vice versa. This relationship ensures the total mechanical energy of the system is conserved.
Kinetic energy cannot exceed potential energy because the total mechanical energy of a system is conserved. When an object gains kinetic energy, it does so at the expense of potential energy, and vice versa. This conservation principle ensures that the sum of kinetic and potential energy remains constant in a closed system.
When the total mechanical energy (potential energy + kinetic energy) of a system is conserved, it means that the sum of the kinetic and potential energies remains constant over time. This implies that the system is isolated from external forces that could alter its energy. In such cases, the energy transformation between potential and kinetic energies can occur without any net loss or gain in the total mechanical energy of the system.
Total energy.
The mechanical energy of the ball is conserved as it falls freely in a vacuum, meaning the sum of its potential and kinetic energy remains constant. Additionally, the total momentum of the ball is conserved during its free fall.
Potential energy of an object due to its motion and position with respect to gravity. It is conserved in a closed system where only conservative forces are at play.
The sum of kinetic and gravitational potential energy remains constant for a closed system in the absence of external forces. As kinetic energy increases, gravitational potential energy decreases, and vice versa. This relationship ensures the total mechanical energy of the system is conserved.
Kinetic energy cannot exceed potential energy because the total mechanical energy of a system is conserved. When an object gains kinetic energy, it does so at the expense of potential energy, and vice versa. This conservation principle ensures that the sum of kinetic and potential energy remains constant in a closed system.
In a closed system, the sum of kinetic energy and potential energy remains constant, according to the conservation of energy principle. This means that the total mechanical energy (kinetic energy + potential energy) of the system is conserved and does not change over time as long as there are no external forces doing work on the system.
Mechanical energy is equal to potential energy plus kinetic energy in a closed system. The total mechanical energy is conserved.
When the total mechanical energy (potential energy + kinetic energy) of a system is conserved, it means that the sum of the kinetic and potential energies remains constant over time. This implies that the system is isolated from external forces that could alter its energy. In such cases, the energy transformation between potential and kinetic energies can occur without any net loss or gain in the total mechanical energy of the system.
Kinetic energy is associated with an object's motion, while potential energy is associated with its position or state. In the context of mechanical energy, the total energy of a system can be seen as the sum of kinetic and potential energy. This distinction allows for a comprehensive understanding of how energy is transformed and conserved in mechanical systems.
Sum
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The sum of kinetic energy and potential energy in a system is the total mechanical energy of the system. This concept is described by the conservation of mechanical energy, which states that in the absence of external forces, the total mechanical energy of a system remains constant. The sum of kinetic and potential energy can be formulated as: Total mechanical energy = Kinetic energy + Potential energy.