calculate the power of pump which can lift 200 kg of water through a height of 6 meter in 10 seconds site:brainly.in
Answers
Given :-
Mass of the water lifted = 200 kg
Height carried by the pump = 6 m
Time taken to carry = 10 sec
To Find :-
The power of the pump.
Analysis :-
Here we are given with the mass, height and time taken to carry the water.
Firstly find the work done by substituting the given values in it's respective formula.
Then find the power done by substituting the values such that power is equal to work done divided by the time taken.
Solution :-
We know that,
- m = Mass
- h = Height
- w = Work done
- t = Time
- g = Gravity
- p = Power
Using the formula,
Given that,
Mass (m) = 200 kg
Gravity (g) = 10 m/s
Height (h) = 6 m
Substituting their values,
⇒ w = mgh
⇒ w = 200 × 10 × 6
⇒ w = 2000 × 6
⇒ w = 12000 J = 1.2 × 10⁴ J
Using the formula,
Given that,
Work done (w) = 1.2 × 10⁴ J
Time (t) = 10 sec
Substituting their values,
⇒ p = 1.2 × 10⁴/10
⇒ p = 1200 W
Therefore, the power of the pump is 1200 W.
Explanation:
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: Calculate the power of pump which can lift 200 kg of water through a height of 6 meter in 10 seconds site?
: We have to find the power of the pump.
: ● Mass of the water lifted = 200kg.
: ● Height carried by the pump = 6m.
: ● Time taken to carry = 10sec.
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: 10m/s ●
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● The power of the pump is 1200W.