During a workout, thefootball players at State U. ran up the stadium stairs in58

Question

During a workout, thefootball players at State U. ran up the stadium stairs in58 s. The stairs are 150 m long and inclined at an angle of 30°. If atypical player has a mass of 105 kg, estimate the average poweroutput on the way up. Ignore friction and air resistance.

Honestly, I have no idea how to go about this problem so going stepby step would really help (:
During a workout, thefootball players at State U. ran up the stadium stairs in58 s. The stairs are 150 m long and inclined at an angle of 30°. If atypical player has a mass of 105 kg, estimate the average poweroutput on the way up. Ignore friction and air resistance.

Honestly, I have no idea how to go about this problem so going stepby step would really help (:
During a workout, thefootball players at State U. ran up the stadium stairs in58 s. The stairs are 150 m long and inclined at an angle of 30°. If atypical player has a mass of 105 kg, estimate the average poweroutput on the way up. Ignore friction and air resistance.

Honestly, I have no idea how to go about this problem so going stepby step would really help (:

Explanation / Answer

Given : .             Distance (S) = 150 m ; angle () = 30o ; Mass (m) = 105 kg ; time (t) = 58 s . We know that : .             Power (P) = Work / time   = W /t    ----------(1) . Here    Work done (W) = F * S* cos   = mg * S *cos .                                                                   = ( 105 kg * 9.8 ) * 150 m * cos30 .                                                                  = 13.36 * 104   J . Hence   P = 13.36 *104   J / 58 s = 2303 Watt . Hope this helps u!

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