A fire engine must lift 30 kg of water a vertical distance of 20 m each second. What is the amount of power needed for the water pump for this fire hose?

P=W/t=Fd/t=mgd/t (30) (9.8) (20) / 1 = 5880 W is that right?

Power is the rate of doing work. It is the amount of energy consumed per unit time. Having no direction, it is a scalar quantity. We express it as follows:

P = W / t

where W = Fd

F = mg

Therefore,

P = mgd / t

P = (30) (9.81) (20) / 1 = 5886 W