The notion exists - it's the rate of change of power with time - but there aren't that many situations where it's needed. We usually care more about how much energy is being delivered at a given moment then whether it will be more or less a moment later.dsaun777 said:a sort of acceleration of energy. Is such a notion non existent in physics and completely useless?
That's true but we don't have a special word for it. Just "rate of change of power." or "global growth in power demand."Filip Larsen said:If you include engineering in physics, then change of power is a concept that, not surprisingly, is a pretty important concept in (electrical) power engineering.
The second time rate of change of energy, also known as the second derivative of energy, is a measure of how quickly the rate of change of energy is changing over time. It is calculated by taking the derivative of the first derivative of energy with respect to time.
Derivatives of energy are not considered useless in physics, but they may not always be necessary or relevant for a particular problem. In some cases, the first derivative of energy (rate of change of energy) provides enough information to solve a problem, and the second derivative may not be needed.
Derivatives of energy are used in physics to study the behavior and changes of energy over time. They can help us understand the rate at which energy is being transferred or transformed in a system, and can be used to solve problems involving motion, forces, and other physical phenomena.
Yes, derivatives of energy can be negative. This indicates that the rate of change of energy is decreasing over time, meaning that the energy is being lost or transferred away from the system. However, the total energy of a closed system will always remain constant, as dictated by the law of conservation of energy.
Power is defined as the rate at which work is done or energy is transferred. Derivatives of energy can be used to calculate power by taking the product of the first derivative of energy and the velocity of an object. This is because the first derivative of energy represents the rate of change of energy, and velocity represents the rate of change of position, which is directly related to work and power.