Law of conservation of energy

If energy cannot flow across the boundaries of a system, then we call that a closed system. The concept of a closed system is therefore closely linked with the idea of the flow of energy. In physics, we say that energy is conserved if there is no net flow inwards or outwards of total energy. This is equivalent to saying that the energy is constant or that it does not change with time.
When we talking about “conserving” energy in everyday life, we are not using the word in the same way as we do in physics. The common usage of the word “conserving” means to use less energy. When you leave a room, you usually turn off the lights in order to “conserve” energy. When a truck is loading pallets, it will turn off its engine in order to “conserve” fuel. In the physics usage, however, conserving energy means that the quantity of energy does not change.
Roller coaster as a closed system.  Potential energy is converted into kinetic energy as the roller coaster descends The law of conservation of energy is expressed in terms of total energy. That means that some or all of the energy can be transformed from one kind to another, just as long as the total energy does not change. A car on a rollercoaster is barely moving at the top of the track, but has lots of stored gravitational potential energy because of its height about the ground; as it travels down the track, the potential energy is transformed into kinetic energy and the car begins to travel very quickly.
An electrical battery by itself can be thought of as a closed system that starts with chemical energy and converts it into electrical energy. When you connect the battery to a circuit, the battery by itself is no longer a closed system; the battery plus circuit becomes a new closed system with constant energy. The Sun starts with nuclear energy and converts it into thermal energy that heats up its interior. As long as a system is closed, then energy is conserved inside it—no matter what form (or forms) that the energy is transformed into.
Law of conservation of energy
Another way of expressing energy conservation is by considering the amount of energy at two different times. The total energy in the closed system at one time must be equal to the total energy of that system at a later time:
(3.5) E start = E end
Estart  = total energy at the start (J)
Eend  = total energy at a later time (J)
Conservation of energy
If we know that a ball has 10 J of energy now, then energy conservation tells us that—as long as the ball remains as a closed system—it will have 10 J of energy at a later time. We may not know what form the ball's energy is in at any given time; perhaps it could be a combination of kinetic and potential energy. What we know is that the sum of the energies for the ball does not change over time. Show Other conservation laws in physics
If a closed system has 500 J of energy right now, how much will it have in five minutes?
  1. 0 J
  2. 500 J
  3. 1,000 J
  4. Not enough information
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