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Average and Instaneous Power

A man weighin...

Question

A man weighing $80 k g$ climbs a staircase with a load of $25 k g$ in his hand, the staircase has $25$ steps and each step has a height of $20 c m$ . If the climbs the staircase in $15 s$ , find the power ( $g = 9.8 m / s^{2}) (343 W)$

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Solution

Given,

Time, $t = 15 sec$
height of each stair, $s = 0.2 m$

Displacement, $d = N \times s = 25 \times 0.2 = 5 m$

Total weight, $W = (m a n m a s s + l o a d m a s s) g = (80 + 25) \times 9.8 = 1029 N$

Power, $P = \frac{c h a n g e i n p o t e n t i a l e n e r g y}{t o t a l t i m e}$

$P = \frac{W h}{t} = \frac{1029 \times 5}{15} = 343 W$

Power is $343 W$

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\begin{matrix} A man weighing 80 k g climbs a staircase carrying a 20 k g load. The staircase has 40 steps, each of 25 c m height. If he takes 20 seconds to climb, the work done is \end{matrix}

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