Question

define power of a body.

state and define S.I. unit of power. Two children A and B both weighing 32kg start climbing up a rope separately reach a height of 8m, 'A' takes 15s and 'B' takes 20s to reach the level calculate the amount of work done by A and B. which of the two has more power. show by calculate. [g=10m/s2]

Answer 1

The rate at which work is done in a body is called it's power
mathematically

$power = \frac{work \: done}{time \: taken}$
The S. I Unit of power is watt.

power of A =
$\frac{work \: done \: by \: a}{time \: taken \: by \: a}$
where work = mgh

power of A =
$\frac{32 \times 10 \times 8}{15} = 171 \: watt \: (aproxx)$
power of B =
$\frac{work \: done \: by \: b}{time \: taken \: by \: b}$
where work =mgh

power of B
$\frac{32 \times 10 \times 8}{20 } = 128 \: watt$

.
. . On comparison we get
$power \: of \: a> \: power \: of \: b$

Answer 2

Weight is equal to 32 kg (both a and b)

Height climbed is equal to 8 m

Time taken

A 15 seconds

B is equal to 20 second

For a

W is equal to m Ch

W is equal to 32 x 10 into 8

W is equal to 320 into 8

W is equal to 2560 joules

similarly b also has work done equal to the 2560 joules

Powers equal to

For a

P is equal to 2560 divided by 15 which is 717.6 watts

For b

P is equal to 2560 divided by 20 which is which is 128 watts

Hope it helps I put my efforts in making the answer as simple as possible

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