A man weighing 48 kg carries a bag of 2kg.He climbs to the top of a building 100m in 5minutes.Calulate the workdone and power.
In this question,why the acceleration due to gravity is not negative ?
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Answer:
The work done by the man and his power is 49 kJ and 163.354 watts respectively.
Explanation:
Given that,
Mass of the man is 48 kg and the mass of the bag that he carries on his head is 2 kg.
Height of the building, h = 100 m
Time taken, t = 5 min = 300 s
When an object climbs to a certain height, the work done him is given by :
W=mghW=mgh
W=(48+2)\times 9.8\times 100W=(48+2)×9.8×100
W = 49000 Joules
or
W = 49 kJ
The work done divided by time is called its power. It is given by :
P=\dfrac{49000}{300}P=30049000
P = 163.354 watts
So, the work done by the man and his power is 49 kJ and 163.354 watts respectively.
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