A girl whose mass 404g walk up a flight of 20steps each 150mm height in 10s find the average power developed Hint g = 10m/S
A girl whose mass is 40kg walks up a flat of 20 steps each 150mm height in 10sec find the average power develop
Pls help answer this question
To find the average power developed by the girl, we can use the formula for power:
Power = Work / Time
First, let's calculate the work done by the girl in walking up the flight of steps. Work is defined as the force applied multiplied by the distance moved in the direction of the force. In this case, the force is the weight of the girl, and the distance is the height of each step.
The weight of an object is given by the equation:
Weight = Mass × Acceleration due to gravity
Here, the mass of the girl is given as 404 grams, and the acceleration due to gravity is approximately 10 m/s². However, we need to convert the mass to kilograms before calculating the weight:
Mass = 404 grams = 404/1000 kilograms = 0.404 kilograms
Weight = 0.404 kilograms × 10 m/s² = 4.04 newtons
Now, let's calculate the work done in walking up a single step. The work done is equal to the force applied multiplied by the distance moved. The distance moved in this case is the height of each step, which is given as 150 mm. We need to convert this to meters:
Height of step = 150 mm = 150/1000 meters = 0.15 meters
Work done = Force × Distance = 4.04 newtons × 0.15 meters
Next, we need to calculate the total work done in climbing the entire flight of steps. Since the girl climbs 20 steps, we multiply the work done in a single step by 20:
Total work done = Work done per step × Number of steps
Now that we have calculated the total work done, we can calculate the average power developed. The time taken to climb the steps is given as 10 seconds:
Average Power = Total Work done / Time taken
Substituting the values we have calculated:
Average Power = (Work done per step × Number of steps) / Time taken
This will give you the average power developed by the girl in watts.
400 grams. Small girl.
Small steps too.
Anyway P = mgh/t.
Need to convert your units.