Question

Calculate the power of a pump which can lift 100 kg of water to store it in a water tank at a height of 19 m in 25 seconds.

Answer 1

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Answer 2

Explanation:

Given:

• Mass (m) is 100 kg.
• Height (h) is 19 m.
• Time (t) is 25 seconds.
• Gravitational force (g) is 10 ms²

To Find:

• What is the power?

Solution: In lifting water ,the pump works against gravity.

★ Work Done = mgh ★

$\small\implies{\sf }$ work done = 100 x 10 x 19J

$\small\implies{\sf }$ work done = 19000J

$\: Power \: = \frac{work(w)}{time(t)} \\ \\ = > \frac{19000J}{25 s} \: \\ \\ = > 760 \: W \:$

Hence, Power is 760 W