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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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Example 11.8 A boy of mass 50 kg runs up a staircase of 45 steps in 9 s. If the height of each step is 15 cm, find his power. Take g = 10 m sโ€“2.Mass of body = m = 50 kg Time taken = t = 9 s Height of 1 step = 15 cm = 15/100 m = 0.15 m Total Height Climbed = Height of 45 steps h = 45 ร— 0.15 h = 6.75 m Acceleration due to gravity = g = 10 m/s2 Power = (๐‘Š๐‘œ๐‘Ÿ๐‘˜ ๐‘‘๐‘œ๐‘›๐‘’)/(๐‘‡๐‘–๐‘š๐‘’ ๐‘ก๐‘Ž๐‘˜๐‘’๐‘›) Work done = Potential energy of body = m ร— g ร— h โˆด Power = (๐‘š ร— ๐‘” ร— โ„Ž)/๐‘ก = (50 ร— 10 ร— 6.75)/9 = (500 ร— 675)/(9 ร— 100) = (5 ร— 675)/9 = 5 ร— 75 = 375 W

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Maninder Singh

CA Maninder Singh is a Chartered Accountant for the past 13 years and a teacher from the past 17 years. He teaches Science, Economics, Accounting and English at Teachoo