Question

Two girls each of weight 200 N, climb up a
rope through a height of 4 m. Girl A takes
10 seconds while B takes 30 seconds to
accomplish this task. What is the power
expended by each girl ?
P.T.O.​

Answer 1

Answer:

A=800W,B=266.6W

Explanation:

Power A=200×4×10/10

=8000/10=800W

Power B =200×4×10/30

=8000/30=266.6W

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Answer 2

The power  expended by each girl 80 W and 26.67 W.

Explanation:

Given that,

Weight of each girls, W = 200 N

Both girls climb up a  rope through a height of 4 m.

Girl A takes  10 seconds while B takes 30 seconds to  accomplish this task. We know that the rate at which work is done is called power of an object.

Power of girl 1,

$P_1=\dfrac{W}{t_1}\\\\P_1=\dfrac{F\times d}{t_1}\\P_1=\dfrac{200\ N\times 4\ m}{10\ s}\\\\P_1=80\ W$

Power of girl 2,

$P_2=\dfrac{W}{t_2}\\\\P_2=\dfrac{F\times d}{t_2}\\P_2=\dfrac{200\ N\times 4\ m}{30\ s}\\\\P_2=26.67\ W$

So, the power  expended by each girl 80 W and 26.67 W. Hence, this is the required solution.

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