Question

During a workout, the football players at State U ran up the stadium stairs in 61 s. The stairs are 130 m long and inclined at an angle of 30°. If a typical player has a mass of 105 kg, estimate the average power output on the way up. Ignore friction and air resistance.

Answer 1

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,

$Power = \dfrac{work}{time}$

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,

$P = \dfrac{66885}{61}$

  P = 1097 Watt

hence, the power output on the way is 1097 W