Karen has a mass of 51.9 kg as she rides the up escalator at Woodley Park Station of the Washington D. C. Metro. Karen rode a distance of 63.1 m, the longest escalator in the free 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 26◦? Answer in units of J.

Question

Physics

Darian Hudson

Today, 13:47

Karen has a mass of 51.9 kg as she rides the up escalator at Woodley Park Station of the Washington D. C. Metro. Karen rode a distance of 63.1 m, the longest escalator in the free 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 26◦? Answer in units of J.

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Answers (1)

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Yuliana Fowler · Answer 1

28852 J

Explanation:

When a force applied in a body produces a displacement in it, the force realized a work. The force that moves Karen is contrary to her weight and must be equal to it.

The work (W) is:

W = F. d. cos (θ), where F is the force, d is the displacement, and θ is the angle.

Knowing that cos (26°) = 0.899, and F = m*g

W = 51.9*9.8*63.1*0.899

W = 28852 J