BASIC SCIENCE. A BOY OF MASS 50KG RUNS UP A FLIGHT OF 10 STAIRS EACH OF HEIGHT 0.2M IN 5 SECONDS CALCULATE HIS POWER.
Total height runned=10*0.2=2.work done=mgh=50*10*2.time taken=5sec.power =work/time=50*10*2/5=200joules.
force = mass * g
work = force * distance
power = work/time
I think your school subject is physics.
To calculate power, we need to use the formula:
Power = Work / Time
First, let's calculate the work done by the boy to climb the stairs. Work is given by the formula:
Work = Force * Distance
To find the force, we use Newton's second law of motion:
Force = Mass * Acceleration
Acceleration can be calculated using the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
In this case, the boy's initial velocity is 0 m/s since he starts from rest, and his final velocity can be calculated by dividing the total distance (height of each stair x number of stairs) by the time taken.
Height of each stair = 0.2 m
Number of stairs = 10
Total distance = Height of each stair x Number of stairs
We're given that the time taken is 5 seconds, so let's calculate the final velocity:
Total distance = 0.2 m x 10 stairs = 2 m
Final Velocity = Total distance / Time
Now, we can calculate the acceleration:
Acceleration = (Final Velocity - Initial Velocity) / Time
= (Final Velocity - 0 m/s) / 5 s
With acceleration calculated, we can find the force exerted by the boy using Newton's second law:
Force = Mass * Acceleration
= 50 kg * Acceleration
Finally, we can calculate the work done by multiplying the force and the distance:
Work = Force * Distance
= (50 kg * Acceleration) * 2 m
Now that we have the work done, we can calculate the power:
Power = Work / Time
= (50 kg * Acceleration * 2 m) / 5 s
By substituting the appropriate values for acceleration, we can calculate the power.