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Question
A boy weighing 40 kg carries a box weighing 20 kg to the top of a building 15 m high in 25 seconds. Calculate the power. (g = 10 m/s2)
Solution
Mass of the boy, (m1) = 40 kg
Mass of the box, (m2) = 20 kg
Height, (h) = 15 m
Acceleration due to gravity, (g) = 10 m/s2
Time taken, (t) = 25 s
Total mass of the system,
M = m1 + m2
=> M = 40 + 20 = 60 kg
So, work done by the boy is,
W = mgh
=> W = (60)(10)(15)
=> W = 9000 J
Now, we can calculate the power of the boy as,
Power = `"Work done"/"Time"`
So ,
Power = `9000/25` W
= 360 W
So, the power is 360 W.
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