A boy weigh 350 new ton runs up a flight of stairs consisting of 20 steps each 10cm high in ten seconds.what is his power
power=work/time=weight*height/time=350*.1*20/10 watts
To find the power of the boy, we need to use the formula:
Power = Work / Time
In this case, the work done by the boy can be calculated as the product of force and distance. The force can be found by multiplying the boy's weight by the acceleration due to gravity.
Step 1: Calculate the force:
Force = Mass * Acceleration due to gravity
The weight of the boy is given in new tons, so we need to convert it into kilograms.
1 new ton = 1000 kilograms
Therefore, the boy's weight in kilograms can be calculated as:
Weight = 350 new ton * 1000 kilograms/new ton
Next, we need to find the acceleration due to gravity. The standard value is approximately 9.8 m/s^2.
Acceleration due to gravity = 9.8 m/s^2
Now, we can calculate the force:
Force = Weight * Acceleration due to gravity
Step 2: Calculate the work done:
Work = Force * Distance
In this case, the distance is the height of each step, which is given as 10 cm. We need to convert it to meters for consistency.
1 meter = 100 centimeters
Therefore, the height of each step in meters can be calculated as:
Height of each step = 10 cm / 100 cm/meter
Now, we can calculate the work done:
Work = Force * Height of each step * Number of steps
Step 3: Calculate the power:
Power = Work / Time
Given that the time taken is 10 seconds, we can substitute all the values into the power formula and solve for power.
Now, combining all the steps:
1. Convert the weight from new tons to kilograms:
Weight = 350 new ton * 1000 kilograms/new ton
2. Calculate the force:
Force = Weight * Acceleration due to gravity
3. Calculate the height of each step in meters:
Height of each step = 10 cm / 100 cm/meter
4. Calculate the work done:
Work = Force * Height of each step * Number of steps
5. Calculate the power:
Power = Work / Time
By following these steps and substituting the given values, you can find the power of the boy.