A man weighing 80 kg lifts a mass of 20 kg to the top of a building 30 m high in 131 seconds . Find the work done in horse power.
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Here, a man weighing 60 kg lifts a body of 15 kg to the top of a building 10 m high in 30 minutes. initially, while lifting the body(doing work) the power is
P
i
=
t
mgh
P
i
=
(30)(60)
(60+15)(10)(10)
P
i
=
1800
7500
After reaching to the top the power is
P
f
=
t
mgh
P
f
=
(30)(60)
(15)(10)(10)
P
f
=
1800
1500
The efficiency of the man is the ratio of final power to the initial one
η=
P
i
P
f
η=
1800
7500
1800
1500
×100
η=
5
1
×100
η=20%
Explanation: