Answer:
Your power output as you climb the stairs is 300.92 Watts.
Explanation:
Power is the amount of work per unit of time that some object or system produces. Power is calculated by:
[tex]P=\frac{W}{t}[/tex]
Power is measured in watts (W), equivalent to one joule (J) of work done per second (s).
Work is defined in physics as the force that is applied to a body to move it from one point to another. The work is calculated as the multiplication of the force by the distance:
Work = F*d
Newton's second law says that the acceleration of a body is proportional to the resultant of forces on the acting and inversely proportional to its mass. This is expressed by the equation:
F=m*a
In this case,
considering that the force of gravity acting on you, the force is:
F=m*a= 72.5 kg * 9.8 [tex]\frac{m}{s^{2} }[/tex] =710.5 N
The distance is the multiplication between the number of stairs and the height of the stairs in meters (18 cm= 0.18 m, being 100 cm= 1 m):
d = 40 * 0.18 m= 7.2 m
Then:
Work= 710.5 N* 7.2 m
Work= 5,115.6 J
So finally the power can be calculated as:
[tex]P=\frac{5,115.6 J}{17s}[/tex]
P= 300.92 Watts
Your power output as you climb the stairs is 300.92 Watts.
