To what height can the water be raised using a pump, acting with a force of 600N (newton) on a piston with an area of 120 cm2?

These tasks: F (the force with which the pump piston acts) = 600 N; S (piston area) = 120 cm2 (in SI S = 120 * 10-4 m2).
Reference values: ρw (density of the lifted water) = 1000 kg / m3; g (acceleration due to gravity) ≈ 10 m / s2.
We will express the height to which it will be possible to raise the water from the equality: ρw * g * h = P = F / S, whence h = F / (S * ρw * g).
Let’s calculate: h = 600 / (120 * 10-4 * 1000 * 10) = 5 m.
Answer: Water can be raised to a height of 5 m.



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