A boy weighing 42kg climbs up a stair of 30 steps each 10cm high in 4 mins and a girl weighing 30kg does the same in 3 mins. Compare :-
(i) The work done by them.
(ii) The power developed by them.
Gud eve Budds....
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Answer:
i) Given: m 1
=40kgf,m 2
=30kgf,h 1
=h 2
,t 1
=4minutes=4×60sec,t 2
=3minutes=3×60sec
Comparing work done by them:
Work done by girl
Work done by a boy
= m 2
gh 2
m 1
gh 1
= m 2
m 1
=
30
40
=4:3
(ii) Comparing power developed by them:
Power developed by girl
Power developed by boy
=
Work done by girl / time taken to climb up the stairs in seconds
Work done by boy / time taken to climb up the stairs in seconds
=
3×60
1800
4×60
2400
=
4×60
2400
×
1800
3×60
=1:1
Step-by-step explanation:
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