Last updated at June 8, 2019 by Teachoo
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Example 11.7 Two girls, each of weight 400 N climb up a rope through a height of 8 m. We name one of the girls A and the other B. Girl A takes 20 s while B takes 50 s to accomplish this task. What is the power expended by each girl? Weight of each girl = mg = 400 N Height climbed by each girl = h = 8 m Power = (๐๐๐๐ ๐๐๐๐)/(๐๐๐๐ ๐ก๐๐๐๐) And Work done = Force ร Distance = m ร g ร h Girl A Power = (๐๐๐๐ ๐๐๐๐)/(๐๐๐๐ ๐ก๐๐๐๐) = (๐ ร ๐ ร โ)/๐ก = (400 ร 8)/20 = 20 ร 8 = 160 W Girl B Power = (๐๐๐๐ ๐๐๐๐)/(๐๐๐๐ ๐ก๐๐๐๐) = (๐ ร ๐ ร โ)/๐ก = (400 ร 8)/50 = 8 ร 8 = 64 W Thus, Power expended by Girl A is 160 W Power expended by Girl B is 64 W
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