A pump with a power of P = 10W lifts m = 0.5 kg of water every second to the height of which is even?

P = 10 W.

m = 0.5 kg.

g = 9.8 m / s2.

t = 1 s.

h -?

Power P is a physical quantity that shows the speed of performing work A: P = A / t, where A is mechanical work, t is the time of work.

A = P * t.

When water with a mass m rises to a height h, mechanical work A is performed, which is determined by the formula: A = m * g * h, where g is the acceleration of gravity.

P * t = m * g * h.

The height of water rise h will be determined by the formula: h = P * t / m * g.

h = 10 W * 1 s / 0.5 kg * 9.8 m / s2 = 2 m.

Answer: the pump raises water to a height of h = 2 m.