A MAN OF MASS 50KG ASSEND A FLIGHT OF STAIRS 5M HIGH IN 5SECONDS IF ACCELERATION DUE TO GRAVITY IS 10M PERSECONDSQUARE CALCULATE FOR THE POWER EXPENDED
power=workdone/time=force*distance/time= mass*g*distance/time
=50*9.8*5/55= ....
I refuse to "assume" g is 10m/s^2. nowhere on Earth is g=10m/s^2. Does your teacher think that using decimal numbers is too difficult for you?
To calculate the power expended by the man while climbing the stairs, we can use the equation:
Power = (Force × Distance) ÷ Time
First, let's find the force exerted by the man using Newton's second law of motion:
Force = mass × acceleration
As the man ascends the stairs, the only force acting on him is his weight, which can be determined using the equation:
Weight = mass × acceleration due to gravity
In this case, the acceleration due to gravity is 10 m/s². Therefore:
Weight = 50 kg × 10 m/s² = 500 N (Newtons)
Now, we can calculate the work done by the man, which is the product of the force exerted and the distance traveled:
Work = Force × Distance
Work = 500 N × 5 m = 2500 joules (J)
Finally, to find the power expended, we divide the work done by the time taken:
Power = Work ÷ Time
Given that the time taken is 5 seconds:
Power = 2500 J ÷ 5 s = 500 watts (W)
Therefore, the power expended by the man while ascending the stairs is 500 watts.