A boy of mass 40 kg runs up flight of 50 steps each 10 cm high in 5 second. Find i) the work done by the boy ii) the power developed. (g = 9.8m * s ^ - 2)
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Explanation:
Given,mass of the boy, m = 40kg
total height gained,h = 50×10 = 500cm = 5m
time taken to climb,t = 5s
g = 9.8m/s²(g can also be taken as 10m/s² for convenience in solving)
Work done by the boy,
W = mgh = 40×9.8×5=1960 J(if g is taken as 10m/s² ans is 2000 J)
Power developed,P=W/t = 1960/5 = 392 W(if g is 10m/s² ans is 400 W)
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