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Matter In Our Surroundings

Question
CBSEENSC9006390

Two girls each of weight 400 N climb up a rope through a height of 8 m. We name one of the girls as A and the other as B. Girl A takes 20 seconds while B takes 50 seconds to accomplish this task. What is the power expended by each girl?

Solution
(i)  Case 1: Girl A

Given,

Weight of the girl, mg  = 400  N

Height which girl A climbs up, h = 8 m

Time taken, t= 20 s

So, power expended by girl A, P is given by, 

Work donetime taken = mght = 400×820 = 160 W

(ii) Case 2: Girl B 

Given, 

Weight of the girl, mg = 400 N

Height which girl B climbs up, h =  8  m

Time taken, t=  50 s

Power expended by girl B is given by, 

P = Work donetime taken = mght= 400×850 = 64 W