A Man Of Mass 50kg Ascends A Flight Of Stairs 5m High In 5 Seconds. It's Acceleration Due To Gravity Is 10metre Per Second. The Power Expended Is?
m g h/t
I just want to get the answer
To calculate the power expended, we need to use the formula:
Power = Work / Time
First, let's calculate the work done by the man in ascending the flight of stairs. The work done is given by the formula:
Work = Force × Distance
The force acting on the man is equal to his weight, which is given by:
Force = Mass × Acceleration due to gravity
So, substituting the values given:
Force = 50 kg × 10 m/s² = 500 N
Now, we can calculate the work done:
Work = Force × Distance = 500 N × 5 m = 2500 J (Joules)
Finally, we can find the power expended using the formula:
Power = Work / Time
The time taken to ascend the stairs is given as 5 seconds:
Power = 2500 J / 5 s = 500 W (Watts)
Therefore, the power expended is 500 Watts.