Question

2. Calculate the power of a pump which can lift 400 kg of water to store it in a water tank at [Ans. 1900 W] a height of 19m in 40s. [Take g = 10 ms-²)​

Answer 1

Answer:

★ Power = 1900 Watt

Step-by-step explanation:

Given:

Mass = 400 kg

Height = 19 m

Time = 40 seconds

Acceleration due to gravity = 10 m/s²

To find:

Power of the pump = ?

Solution:

For solving such questions, apply the below formula when work done is given

Power = (Work done) ÷ Time

Here work done is not given.

So, the formula can also be written as;

Power = (Mass × Gravity × Height) ÷ Time

⇒ Power = (400 × 10 × 19) ÷ 40

⇒ Power = 10 × 10 × 19

⇒ Power = 100 × 19

⇒ Power = 1900 Watts

∴ The power of the pump = 1900 Watts

Answer 2

Given : -

• Mass of water which can be lifted by pump,m = 400kg
• Hieght of the water tank,H = 19m
• Time taken to fill the tank,T = 40s
• Acceleration due to gravity,g = 10m/s^2

To Find : -

• Power of pump = ?

Solution : -

Given,

• M = 400kg
• H = 19m
• T= 40s
• G = 10m/s^2

We know that,

$\: \sf \large \implies \: p = \frac{work \: done}{time \: taken } \\ \\ \sf \large \implies \: p = \frac{mgh}{t}$

Now put the values which ie given here:

$\: \sf \implies \: p = \frac{40 \cancel0 \times 10 \times 19}{4 \cancel0} \\ \\ \: \sf \implies \: p = 1900 \: watt$

Hence,Power of pump is 1900 watt.

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