Physics
A crane 'A' lifts a heavy load in 5 seconds, whereas another crane 'B' does the same work in 2 seconds. Compare the power of crane 'A' to that of crane 'B'.
Machines
ICSE 2020
Answer
Let the work done by both cranes be 'W'
Given,
Time taken by crane A to do work, t1 = 5 s
Time taken by crane B to do work, t2 = 2 s
Power of crane A, PA =
Power of crane B, PB =
A}{PB} = \dfrac{Wt2}{Wt1} \\[0.5em] \dfrac{PA}{PB} = \dfrac{t2}{t1} \\[0.5em] \dfrac{PA}{PB} = \dfrac{2}{5}
PA : PB = 2 : 5
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