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ICSE Class 10 Physics 2016 Paper

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A boy weighing 40kg40\,\mathrm{kg} climbs up a stair of 30 steps each 20cm20\,\mathrm{cm} high in 4 minute and a girl weighing 30kg30\,\mathrm{kg} does the same in 3 minutes. Compare:
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Question : 3 of 73
Marks: +1, -0
The work done by them.
Solution:  
Given : m1=40kgf,m2=30kgf,h1=m_1=40\,\mathrm{kgf}, m_2=30\,\mathrm{kgf}, h_1= h2,t1=4h_2, t_1=4 minutes =4×60sec.,t2=3=4 \times 60\,\mathrm{sec}., t_2=3 minutes =3×60sec=3 \times 60\,\mathrm{sec}.
Comparing work done by them :
Work done by a boyWork done by a girl=m1gh1m2gh2\frac{\text{Work done by a boy}}{\text{Work done by a girl}} = \frac{m_1 g h_1}{m_2 g h_2}
=m1m2=4030= \frac{m_1}{m_2} = \frac{40}{30}
=4:3=4:3
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