a body whose mass is 40kg runs up a flight of 30 steps each 150mm high in 6 second fine the average power developed
work done in lift = m g h = 40 * 9.81 * 30 * 0.150 Joules
power = work/time
so divide work done in Jouless by 6 to get Watts
good
good
good work
To find the average power developed, we can use the formula:
Power = Work / Time
First, let's calculate the work done to climb the flight of stairs. Work is given by the formula:
Work = Force * Distance
The force required to climb the stairs is equal to the weight of the body, which is the mass multiplied by the acceleration due to gravity (9.8 m/s^2).
Force = Mass * Acceleration due to gravity
= 40 kg * 9.8 m/s^2
Now, we need to calculate the distance traveled. Each step is 150mm high, and there are 30 steps, so the total distance climbed is:
Distance = Height of each step * Number of steps
= 150 mm * 30
To convert the distance from millimeters to meters, we need to divide by 1000:
Distance = (150 mm * 30) / 1000
Finally, we can calculate the average power by dividing the work by the time (6 seconds):
Power = Work / Time
= (Force * Distance) / Time
= ((40 kg * 9.8 m/s^2) * ((150 mm * 30) / 1000)) / 6 seconds
Now, we can simplify and calculate the value.