Final answer:
The size of the cylinders and force applied are the main factors that determine how fast a hydraulic system moves.
Step-by-step explanation:
A hydraulic system in a simple machine can increase force but cannot do more work than done on it.
Work is force times distance moved, and the slave cylinder moves through a smaller distance than the master cylinder.
The main factors that determine how fast a hydraulic system moves are the size of the cylinders and the force applied.
In a hydraulic system, when a force is applied to a smaller piston (master cylinder), it creates a greater pressure, which then moves a larger piston (slave cylinder) with a larger area.
This results in a larger force being generated by the slave cylinder.
For example, if the ratio of the area of the slave cylinder to the area of the master cylinder is larger, the force exerted by the slave cylinder will be greater.
Similarly, if the ratio of their diameters is larger, the force generated by the slave cylinder will also be greater.