Question

calculate the power of a water pump which takes 10 sec to lift 50 kg to a over head located at a height of 10 m (g = 10 m/s²)​

Answer 1

Answer :-

• The power of the water pump is 500W.

Explanation:

To Find :-

• The power of the water pump

Solution:

Given that,

• Acceleration due to gravity = 10m/s²
• Mass = 50kg
• Height = 10m

So,

Workdone = mgh,

Where,

• m = Mass
• g = Acceleration due to gravity
• h = Height

=> Workdone = m × g × h

=> 50 × 10 × 10

=> 500 × 10

=> 5000

Therefore, The Workdone by the water pump is 5000J. Now,

According the question,

The power of the water pump is,

As we know that,

P = W ÷ t,

Where,

• P = Power
• W = Workdone
• t = Time taken

=> Power = Workdone ÷ Time taken

=> Power = 5000 ÷ 10

=> Power = 500

Hence,

• The power of the water pump is 500W.