Final answer:
True, work input equals work output in a hydraulic system with no losses due to friction. Friction within the fluid and between components in the system would cause the work output to be less than the work input, and this effect would depend on whether or not the fluid is moving.
Step-by-step explanation:
True
In a hydraulic system, work input equals work output assuming no losses due to friction. This can be verified by showing that the distance the output force moves is reduced by the same factor that the output force is increased. When the output force is increased, the distance it moves is reduced by a proportional factor. This proportionality ensures that the work input and work output are equal.
If there were friction within the fluid or between components in the system, the output force would be affected. Friction would result in losses, meaning that the work output would be less than the work input. Additionally, if the fluid is moving, friction would have a greater impact on the output force compared to when the fluid is not moving.