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A student pulls a bucket of water in $1 minute$ from a $30 m$ deep well. If the mass of the bucket with water is $25 kg$ , then the power of this student is ____

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Detailed Solution

Power of this student is

125 Watt

.
It is the energy of an object’s position relative to other objects.
The formula for potential energy depends on the force acting on the two objects. For the
gravitational force, the formula is

W = m \times g \times h = mgh

Where

● $m$ is the mass in kilograms

● $g$ is the acceleration due to gravity

● $h$ is the height in metres

The capacity to do work is termed Energy. The Energy expended to do work in unit time is
termed Power. It is represented as

P

.
Power Formula is articulated as,

P = \frac{E}{t}

P = \frac{w}{t}

Where,
The Energy Consumed to do work

= E

Work done

= W

Time taken

= t

Work done by the student

= mgh

\Rightarrow

Work done by the student

= 25 \times 10 \times 30

\Rightarrow

Work done by the student

= 7500 J

Time duration of the work is

= 1 \min .

\Rightarrow

Time duration of the work is

= 60 \sec

Hence, The power of student

= \frac{work}{Time}

\Rightarrow

The power of student

= \frac{7500}{60}

\Rightarrow

The power of student

= 125 watt

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A student pulls a bucket of water in 1 minute from a 30m deep well. If the mass of the bucket with water is 25 kg, then the power of this student is ____

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A student pulls a bucket of water in $1 minute$ from a $30 m$ deep well. If the mass of the bucket with water is $25 kg$ , then the power of this student is ____