> #sports , #physics > Mike has amass of 58kg & he is practicing gymnastics. He takes 6s to climb a flight of stairs of 36steps.if each step is12cm high, how much power is generated by Mike.?
Jul 30

# Mike has amass of 58kg & he is practicing gymnastics. He takes 6s to climb a flight of stairs of 36steps.if each step is12cm high, how much power is generated by Mike.?

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Jul 30
First, we need to calculate the total height Mike climbs in meters:

Total height = 36 steps * 12 cm/step * 1 m/100 cm = 4.32 meters

Next, we need to calculate the work done by Mike to climb the stairs:

Work = Force * Distance
Force = Mass * Gravity = 58 kg * 9.8 m/s^2 = 568.4 N
Distance = 4.32 meters

Work = 568.4 N * 4.32 m = 2455.488 J

Finally, we can calculate the power generated by Mike:

Power = Work / Time = 2455.488 J / 6 s = 409.248 W

Therefore, Mike generates 409.248 watts of power while climbing the stairs.
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Jul 30
Weight of Mike (W) = 58 kg
Time taken (t) = 6 s
Height of each step (h) = 12 cm = 0.12 m
Number of steps (n) = 36

Total height climbed (H) = n - h = 36 - 0.12 = 4.32 m
Work done by Mike against gravity (W) = W - H = 58 kg - 9.8 m/s² - 4.32 m = 2658.24 J

Power generated by Mike (P) = Work done / Time taken = 2658.24 J / 6 s = 443.04 W
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