a man whose mass is 55kg climbs to height of 40m in 40 seconds. find the power consumed by man.
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To Find :-
- The power consumed by a man
Solution :
Given that,
- Mass of a man = 55kg
- The man climbed to height in 40 seconds = 40m
∴ The Workdone by the man :-
We know,
- Work done = Potential energy [ mgh ],
Where,
- m = Mass
- g = acceleration due to gravity
- h = Height
⇒ mgh
⇒ 55 × 40 × 9.8
⇒ 21560 J
The workdone of the man is 21560J.
Now, Power :-
We know,
- Power = W/t,
Where,
- W = Workdone
- t = Time
Therefore,
⇒W/t
⇒ 21560/40
⇒ 2156/4
⇒ 539 W
Required Answer :-
- The power consumed by a man is 539W.
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