yes
The law of conservation of energy states that the total energy in the universe is a constant and will remain so for example ( x=y+z ). conservation of energy has to do with reducing the amount of energy used through reduced activity and/or increased efficiency in the performance of a particular task.
This simply means that, as long as no mechanical energy is wasted or converted to other types of energy (and no other type of energy to mechanical energy), the total amount of mechanical energy doesn't change. Mechanical energy refers to the sum of kinetic and potential energy. Since energy losses and energy conversions do occur, this is not really a "law". In other words, the law of conservation of energy has not been known to be violated; conservation of mechanical energy is very easily violated.
There is no difference between the two, it's just another way of wording the phrase.
Conservation of mechanical energy means that the total mechanical energy doesn't increase or decrease over time.Note that in real systems, some mechanical will always be lost due to friction.
The law of conservation of energy states that all energy in the universe is conserved. It can not be created nor destroyed, but it can be interchanged between mechanical and non-mechanical energy.
rubbing of two wood
Light is not mechanical energy but it can be transformed into mechanical energy. Light creates an impact as it hits a surface.
In theory, in a closed frictionless system. In practise, never because some energy is always lost in the form of heat or sound.
tgyrtyhh
Mechanical Energy
1/2g+1/2kxf=0
It certainly does; mechanical energy will be wasted due to friction. Otherwise, if you disregard friction, the fact that the total mechanical energy is conserved follows from conservation of energy.