What power is developed by a person who lifts a bucket of water weighing 12 kg from a well 20 m

| July 24, 2021 | education

What power is developed by a person who lifts a bucket of water weighing 12 kg from a well 20 m deep in 15 seconds? consider the bucket movement to be uniform.

Given:

P = 12 kilograms – the mass of a bucket of water that a person lifts;

h = 20 meters – well depth;

t = 15 seconds – the time it takes for a person to raise water from a well.

It is required to determine W (Watt) – the power developed by a person.

Let’s find the weight of a bucket of water that a person lifts:

P = m * g, where g = 10 Newtons per kilogram (approximate value);

P = 12 * 10 = 120 Newtons.

Since the condition of the problem is not specified, we believe that a person raises water evenly, that is, at a constant speed. Then, to determine the power, you must use the following formula:

W = A / t = F * h / t = P * h / t = 120 * 20/15 = 120 * 4/3 = 40 * 4 = 160 watts.

Answer: the power developed by a person is 160 watts.



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