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Question

A boy weighing 350 N climbs up the 30 steps, each 20 cm high in 1 minute. Calculate:(i) the work is done, and (ii) the power spent.

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Solution

Total distance covered in 30 steps , S= 30 × 20 cm = 600 cm = 6 m
Work done by the boy in climbing= Force × distance moved in direction of force

Here work done by boy will be opposite to work done by gravity.

Weight is basically a force exerted on our body due to gravity. Therefore boy will have to apply exact amount of force in opposite to gravity i.e. in upward direction. Work is:
(i) W= F× S= 350 × 6 =2100 J

(ii) Power is rate of doing work per second , therefore:
1 minute = 60 sec
P o w e r equals fraction numerator w o r k space d o n e over denominator t i m e end fraction space space space equals 2100 over 60 equals 35 W


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