How does the energy of a system change with work done?

The energy of a system changes with work done as work is a transfer of energy.

When work is done on a system, energy is transferred to the system, causing an increase in its energy. This can be seen in the equation W = ΔE, where W is the work done on the system and ΔE is the change in energy of the system. If work is done by the system, energy is transferred out of the system, causing a decrease in its energy.

The type of work done on a system can also affect the type of energy transfer. For example, if work is done on a gas in a piston, the gas may compress, causing an increase in its internal energy. Alternatively, if work is done on an object by a gravitational force, the object may gain gravitational potential energy.

It is important to note that the energy of a system is conserved, meaning that the total energy of the system remains constant. Therefore, any increase or decrease in energy due to work done must be balanced by an equal and opposite change in energy elsewhere in the system or its surroundings.

In conclusion, the energy of a system changes with work done as work is a transfer of energy. The type of work done and the resulting energy transfer can vary depending on the system and the surroundings. However, the total energy of the system remains constant due to the principle of energy conservation.