please solution
important question
Answers
Answer:
1200 kg
Question: How much water(in kg) a pump at 2kW can raise in one minute to a height of 10 m. (g = 10)
Explanation:
In the given question:
Power = 2kW = 2000 W
Time = 1 min = 60 s
Height(h) = 10m
g = 10 m/s²
Using, P = Work/time
P = (Force * displacement)/time
P = (ma * h)/t
P = (mgh)/t
Substituting the given values :
⇒ 2000 = (m * 10 * 10)/(60)
⇒ 2000 = (m * 100)/60
⇒ 1200 = m
Hence the mass of the water is 1200 kg.
Given Data :-
☞ Power(P) = 2kW = 2(1000) = 2000 W
☞ Time (t) = 1 min = 60 s
☞ Height (h) = 10 m
☞ Acceleration due to Gravity (g) = 10m/s²
To find :-
➔ Mass of Water (m) in kg
Solution :-
as , Power = Work done * time
-----------
P = Wt
----------
Work done = mgh
⇒ 10*10* m = 100 m
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so , from P = Wt
⇒ 2000 = 100m/60s
⇒ 2000 * 60 = 100 * m
⇒ 20 * 60 = m
⇒ m = 1200 kg
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- Mass of Water (m) = 1200 kg