a Athlete weight 60 kg runs up a staircase having 10 steps of 0.5 m 30 seconds calculate its power?
Answers
Answer:
Height ran by the athlete: 10 × 0.5 = 5 m
Mass of the athlete = 60 kg
Acceleration acting on the athlete = gravity = 10 m/s²
Therefore, Work Done = Mass × Acceleration × Height
⇒ Work Done = 60 kg × 10 m/s² × 5 m
⇒ Work Done = 600 N × 5 m = 3000 J
Now we know that, Power is work done per unit time.
So Time taken for whole process is 30 seconds.
Hence, Power = 3000 J / 30 sec
⇒ Power = 100 J/sec or 100 W
Hence this is the required answer.
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100 joules/second
Height ran by athlete: 10 × 0.5 = 5 m
Mass of athlete= 60 kg
Acceleration acting on athlete = gravity and gravity is 10 m/s²
Work Done = Mass × Acceleration × Height
⇒ Work Done = 60 kg × 10 m/s² × 5 m
⇒ Work Done = 600 N × 5 m = 3000 J
we know that, Power is work done per unit time.
So Time taken for process is 30 seconds.
Hence, Power = 3000 J / 30 sec
⇒ Power = 100 J/sec