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Question

A boy weighing 40kgf climbs up a stair of 30 steps each 20 cm high in 4 minute and a girl weighing 30kgf does the same in 3 minutes. Compare:
(i) The work done by them.
(ii) The power developed by them

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Solution

(i) Given: m1=40kgf,m2=30kgf,h1=h2,t1=4minutes=4×60sec,t2=3minutes=3×60sec
Comparing work done by them:
Work done by a boyWork done by girl=m1gh1m2gh2=m1m2=4030=4:3

(ii) Comparing power developed by them:
Power developed by boyPower developed by girl=Work done by boy / time taken to climb up the stairs in secondsWork done by girl / time taken to climb up the stairs in seconds

=24004×6018003×60

=24004×60×3×601800=1:1

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