Karen has a mass of 56.2 kg as she rides the up escalator at woodley park station of the washington d. c. metro. karen rode a distance of 60.4 m, one of the longest escalators in the world. the acceleration of gravity is 9.8 m/s 2 . how much work did the escalator do on karen if it has an inclination of 28.9 ◦ ?

W = 16.08 kJ

Explanation:

mass of Karen = 56.2 Kg

distance Karen rode(l) = 60.4 m

acceleration due to gravity = 9.8 m/s²

inclination of escalator with horizontal (θ)= 28.9◦

work escalator = ?

height at Karen has moved

    h = l sin θ

    h =60.4 x  sin 28.9°

    h = 29.19 m

Work done  = Δ PE

Work done  =  m g (Δ h)

Work done  =  56.2 x 9.8 x (29.19 - 0)

Work done  =  16076.68 J

W = 16.08 kJ

Work done by the escalator is equal to W = 16.08 kJ

multiply 2kg by latent heat of vap

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