Answer :
Answer:
P = 1097 Watt
Explanation:
given,
length of stairs, L = 130 m
inclination with horizontal,θ = 30°
mass of the football player = 105 Kg
time = 61 s
we know,
[tex]Power = \dfrac{work}{time}[/tex]
Work = change in Potential energy
h = L sin 30°
h = 130 x 0.5
h = 65 m
W = m g h
W = 105 x 9.8 x 65
W = 66885 J
now,
[tex]P = \dfrac{66885}{61}[/tex]
P = 1097 Watt
hence, the power output on the way is 1097 W
The average power is defined as the rate of total work done. Its unit is the watt. It is a time-based quantity. the average power output is 1097 watts.
What is average power?
Average power is a ratio of total work done by the body to the total time. Its unit is the watt. It is also defined as the rate of total work done by the body.
The given data in the problem is ;
Stairs length (L)= 130 m
inclination with horizontal (θ) = 30°
mass of player (m)= 105 Kg
time to run up = 61 s
The stairs are at the angle of 30° so that the length of the ladder is resolved in terms of height as
h = L sin 30°
h = 130 x 0.5
h = 65 m
According to the law of conservation of energy,
Work = change in Potential energy
[tex]\rm {W = m g h}[/tex]
[tex]\rm {W = 105 \times 9.8 \times 65}[/tex]
[tex]\rm W = 66885 J[/tex]
Power is defined as the rate of work done
[tex]\rm{power= \frac{work}{time} }[/tex]
[tex]\rm{power= \frac{66885}{61} }\\\\\rm{power=1097 \; watt }[/tex]
Hence the average power output is 1097 watt.
To learn more about the average power refer to the link;
https://brainly.com/question/14669681