Question

Calculate the power of a pump which can lift 100kg of water through a vertical height of 5m in 20seconds •, take g=10m/s

Answer 1

Answer:

Explanation:

firstly, find the force(F)=mg=100×10=1000N then find the work done by pump=W=Fs=1000×5=5000j then find the power =W/t=5000/20=250w

Answer 2

The power of the pump is 250W.

Given:

Weight of the water (m) = 100kg

Height (s) = 5m

Time taken (t) =  20sec

g = 10m/s

To Find:

Power of the pump.

Solution:

Power is the rate of doing work, or it is the work done in unit time. The SI unit of power is Watt (W) or joules per second (J/s).

The product of the force in the direction of the displacement and the magnitude of that displacement is called the work. SI unit of work: joule (J).

The push or pull on an object with the mass that causes it to change its velocity. SI unit: Newton

Calculating the force:

Force (F) = mg = 100 × 10 = 1000N

Now, calculating the work done by the pump,

Work (W) = Fs = 1000 × 5 = 5000 J

Power (P) = W / t = 5000 / 20 = 250 W        (Ans.)

Therefore, the power of the pump is 250W

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