A man whose is 75kg walks up a flight of 5.12 steps each 20cm hight in 5second. Find the power developed in walks.
(75*9.8)(5.12*0.2)/5
To find the power developed while walking up a flight of steps, we need to use the formula:
Power = Work / Time
First, we need to determine the work done by the man. Work is equal to the force applied multiplied by the distance moved. In this case, the distance is the height of the steps and the force is the man's weight.
Weight = Mass × Acceleration due to gravity
Given that the man's mass is 75 kg, and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the weight:
Weight = 75 kg × 9.8 m/s² = 735 N (Newton)
Now, we need to calculate the distance moved. Each step has a height of 20 cm, which is equivalent to 0.2 m. The total distance moved can be calculated by multiplying the height of each step by the number of steps. In this case, there are 5.12 steps:
Distance = Height of each step × Number of steps
Distance = 0.2 m × 5.12 = 1.024 m
Next, we can find the work done:
Work = Force × Distance
Work = 735 N × 1.024 m = 752.64 Joules
Finally, we can calculate the power:
Power = Work / Time
Power = 752.64 J / 5 s = 150.53 Watts (approximately)
Therefore, the power developed while walking up the flight of steps is approximately 150.53 Watts.