A man weighing 60kg lifts a body of 15kg to the top of a building 10m high in 3 minutes.The power of man is:
Question
A man weighing 60kg lifts a body of 15kg to the top of a building 10m high in 3 minutes.The power of man is:
Solution
To calculate the power of the man, we can use the formula:
Power = Work / Time
First, let's calculate the work done by the man. The work done is equal to the force applied multiplied by the distance moved. The force applied can be calculated using Newton's second law:
Force = mass * acceleration
Since the man is lifting the body vertically, the acceleration is equal to the acceleration due to gravity, which is approximately 9.8 m/s^2.
Force = mass * acceleration Force = 15kg * 9.8 m/s^2 Force = 147 N
Now, let's calculate the work done:
Work = Force * distance Work = 147 N * 10m Work = 1470 J
Next, we need to convert the time from minutes to seconds:
Time = 3 minutes * 60 seconds/minute Time = 180 seconds
Finally, we can calculate the power:
Power = Work / Time Power = 1470 J / 180 s Power ≈ 8.17 W
Therefore, the power of the man is approximately 8.17 Watts.
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