Question

A pump is use to lift 1500 kg of water, through a vertical height of 10 m. calculate the work done in operating the pump​

Answer 1

Given:-

• Mass ,m = 1500kg

• Height = 10m

To Find:-

• Work done ,W

Solution:-

Here we have to calculate the work done by the pump in against gravity.

As we know that the acceleration due to gravity is 9.8m/s²

• W = mgh

Substitute the value we get

→ W = 1500 × 9.8 × 10

→ W = 1500 × 98

→ W = 147000 J

1 KJ = 1000 j

Therefore, 147000 Joules = $\frac{147000}{1000}$

→ W = 147 KJ

Therefore, the work done by the pump is 147 KiloJoules.

Answer 2

Answer:

$\red{ \large \underline\mathfrak{Given} }\: : \:$

• A pump is use to lift 1500 kg of water,

• through a vertical height of 10 m.

• Acceleration due to gravity, g= 9.8 m/s²

$\green{ \large \underline\mathfrak{To \: find \: }} \: : \:$

• Calculate the work done in operating the pump

$\pink{\large \underline\mathfrak{solution \: \: \: } }\: : \:$

Concept :

Foundation Work can be calculated with the equation:

Work = Force × Distance.

• The SI unit for work is the joule (J), or Newton • meter (N • m). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m.

         

                 

$\bigstar \: \boxed{ \sf \: force = mass \times Acceleration \: }$

$\bigstar \: \underline\boldsymbol{substitute \: all \: values} :$

$: \implies\sf \: \: \: \: \: force = 1500 \times 9.8 \: \\ \\ \\ : \implies\sf \: \: \: \: \: force =14700 \: N \: \: \:$

$\bigstar \: \boxed{ \sf \:work \: = force \times time \: }$

$\bigstar \: \underline\boldsymbol{substitute \: all \: values} :$

$: \implies \sf \: \: \: \: \: \:work \: = 14700\times 10 \: \\ \\ \\ : \implies \sf \: \: \: \: \: \:work \: = \: 147000 \: j$

$\bigstar \: \boxed{ \sf \:1 \: kj \: = 1000j\: }$

$: \implies\sf \:\:\:\:\: 147000j = \cancel{\frac{147000}{1000}} \: \\ \\ \\ : \implies\sf \:\:\:\:\: 147000j = 147 Kj \:$