Question

A man of mass 50 kg ascends 30 steps of a staircase in 15 seconds. If the height of each step of the staircase is 20 cm, find the power of the man

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Answer

Question

A man of mass 50 kg ascends 30 steps of a staircase in 15 seconds. If the height of each step of the staircase is 20 cm, find the power of the man (g = 9.8 m/s2). [Ans. 196 W]

Answer

Mass (m) = 50 kg

Height (h) = 30 × 20 cm = 6 m

Time (t) = 15 s

Step 1: Calculation of work

Work (W) = mgh

= 50 × 9.8 × 6 = 2940 J

Step 2: Calculation of Power

Power (P) = Work\over Time

= 2940\over 15 = 196 W

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