Making a force act on a small area produces a large ___________.
Answers
Answer:
Making a force act on a small area produces a large pressure.
In a fluid (gas or liquid) the pressure is the same everywhere (ignoring gravitational effects/depth).
Pressure = force/area so a sammll pressure on a small area gives the same pressure as a large pressure on a large area. THis idea can be used in hydraulic systems where a small foerce is applied to a piston with a small surface area - this produces an increasesd pressure in the fluid. Somewhere else, the fluid acts on a large surface area piston and produces a large force.
I imagine that the question is asked because there seems tpo be an element of getting something for nothing. Forces are not a conserved quantity, but energy is. This where is becomes apparent that there is a ‘cost’ to having the increased force.
A small force acts on the small piston,it moves a certain distance say 10 cm and that displaces a certain volume of the hydaulic fluid. When the fluid acts on the large piston, the volume displaced must be the same so a large surface area moving a tiny distance gives the same volume of displaced hydraulic fluid.
This then ensures that energy is conserved. Assuming no other losses :
work done on small piston = small force a large distance and this equals :
work done by large piston = large force x small distance
Sayed Muhammad Ayaan
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