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yes
No, it is not true.
Output is always greater than input. The output is multiplied from input.
In a real machine, the output work is always less because input energy will be converted to heat energy and lost.
because output work is input work divided by two
Work output is always less than work input. This is related to the Law of Conservation of Energy.
All machines lose some of the input force applied to them as a result of friction and other forces. The efficiency of a machine refers to how much of the input work is converted to output work by the machine. You can find the efficiency of a machine by dividing the output work by the input work. Because the output work will always be smaller than input work, efficiency will always fall somewhere between 0 and 1, with 1 being a machine that has as much output as input work (not possible in the real world) and 0 being a machine that is totally useless because none of the input work is converted to output work.
In a real machine, part of the energy (or power) is always wasted.
Entropy.
Work Input- The work done on a machine as the input force acts through the input distance. Work Output - The work done by a machine as the output force acts through the output distance (What the machine does to the object (dependent on the force) to increase the output distance).
Output(input), or O(i)
In a closed system in the "real world" in which we live, there are losses associated with friction and other actions. These forces "take energy" from the system between its input and output. When we apply force to the imput of a system, some is lost as the force is transferred through that system. That means that the output force we observe will always be a bit less than the input force. A transmission in a vehicle is a classic example of the idea that there are losses between the input and the output of a system. The input from the engine will always be a bit greater than the output at the tailshaft (or axles for a transaxle) due to losses within the transmission.