Question
A man of mass 2000g climbs a flight of stairs of 20 steps, covering a distance of 560mm in 1 hour. Calculate the power expended by the man. Take gravity as 10m/s²
Answers
GPT 3.5
First, we need to convert the mass of the man from grams to kilograms:
2000g / 1000 = <<2000/1000=2>>2 kg
Next, we need to convert the distance covered from millimeters to meters:
560mm / 1000 = 0.56 m
We're given that the time taken is 1 hour, or 3600 seconds.
The work done by the man is given by the formula:
work = force * distance
The force exerted by the man is equal to the weight, calculated as:
weight = mass * gravity
weight = 2 kg * 10 m/s² = 20 N
The work done by the man is:
work = 20 N * 0.56 m = 11.2 J
Finally, we can calculate the power expended by the man using the formula:
power = work / time
power = 11.2 J / 3600 s = 0.00311 W
Therefore, the power expended by the man is approximately 0.00311 watts.
2000g / 1000 = <<2000/1000=2>>2 kg
Next, we need to convert the distance covered from millimeters to meters:
560mm / 1000 = 0.56 m
We're given that the time taken is 1 hour, or 3600 seconds.
The work done by the man is given by the formula:
work = force * distance
The force exerted by the man is equal to the weight, calculated as:
weight = mass * gravity
weight = 2 kg * 10 m/s² = 20 N
The work done by the man is:
work = 20 N * 0.56 m = 11.2 J
Finally, we can calculate the power expended by the man using the formula:
power = work / time
power = 11.2 J / 3600 s = 0.00311 W
Therefore, the power expended by the man is approximately 0.00311 watts.