Harrison
Dec 24, 2020

answers: 1

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\text{\huge\underline{\red{Question:-}}}

Question:-

:\leadsto⇝ Calculate the power of pump which can lift 200 kg of water through a height of 6 meter in 10 seconds site?

\text{\huge\underline{\orange{To\ find:-}}}

To find:-

:\leadsto⇝ We have to find the power of the pump.

\text{\huge\underline{\green{Given:-}}}

Given:-

:\leadsto⇝ ● Mass of the water lifted = 200kg.

:\leadsto⇝ ● Height carried by the pump = 6m.

:\leadsto⇝ ● Time taken to carry = 10sec.

\text{\huge\underline{\purple{Solution:-}}}

Solution:-

\text{\large\underline{\pink{●\ Formula\ to\ be\ used:-}}}

● Formula to be used:-

:\leadsto⇝ \mathrm{\boxed{●Work\ done\ =\ Mass\ ×\ Gravity\ ×\ Height●}}

●Work done = Mass × Gravity × Height●

\text{\Large\underline{\purple{Well,\ it\ is\ given\ that:-}}}

Well, it is given that:-

:\leadsto⇝ \mathrm{●\ Mass,\ (m)\ =\ 200kg\ ●} ● Mass, (m) = 200kg ●

:\leadsto⇝ \mathrm{●\ Gravity,\ (g)\ =} ● Gravity, (g) = 10m/s ●

:\leadsto⇝ \mathrm{●\ Height,\ (h)\ =\ 6m\ ●} ● Height, (h) = 6m ●

\text{\large\underline{\orange{By\ substituting\ the\ values,\ we\ get:-}}}

By substituting the values, we get:-

:\leadsto⇝ \mathrm{W\ =\ mgh} W = mgh

:\leadsto⇝ \mathrm{W\ =\ 200\ ×\ 10\ ×\ 6} W = 200 × 10 × 6

:\leadsto⇝ \mathrm{W\ =\ 2000\ ×\ 6} W = 2000 × 6

:\leadsto⇝ \mathrm{W\ =\ 12000J} W = 12000J

:\leadsto⇝ \mathfrak{\boxed{1.2\ ×\ 10⁴J}}

1.2 × 10⁴J

\text{\large\underline{\blue{By\ using\ the\ formula:-}}}

By using the formula:-

:\leadsto⇝ \mathrm{\boxed{Power\ =\ \dfrac{Work done}{Time taken}}}

Power =

Timetaken

Workdone

\text{\large\underline{\purple{Now,\ we\ know:-}}}

Now, we know:-

:\leadsto⇝ \mathrm{Work\ done,\ (w)\ =\ 1.2\ ×\ 10⁴J} Work done, (w) = 1.2 × 10⁴J

:\leadsto⇝ \mathrm{Time,\ (t)\ =\ 10sec} Time, (t) = 10sec

\text{\large\underline{\blue{By\ substituting\ the\ values:-}}}

By substituting the values:-

:\leadsto⇝ \mathrm{P\ =\ \dfrac{1.2 × 10⁴}{10}} P =

10

1.2×10⁴

:\leadsto⇝ \mathrm{P\ =\ 1200W} P = 1200W

\therefore∴ ● The power of the pump is 1200W.

\text{\huge\underline{\bf{Hence\ Verified}}}

Hence Verified

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433

Erin Thomas

Dec 24, 2020

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