Karen has a mass of 57.9 kg as she rides the up escalator at woodley park station of the washington d. c. metro. karen rode a distance of 69.6 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 34.8 ◦ ? answer in units of j.

22537.92 J

Explanation:

Given

mass of karen

Distance covered by Karen =69.6 m

acceleration due to gravity=9.8

inclination

vertically karen move

h=39.72 m

Work done by escalator on karen is equal to change in potential energy of  karen

22537.92 J

Explanation:

We are given that

Mass of Karen=57.9 Kg

Karen rode  a distance=69.6 m

Acceleration due to gravity=

We have to find the amount of work done by escalator on Karen.

Vertical height of longest escalator=

Work done=Potential energy of escalator

Work done=mgh=

Hence, the work done on Karen=22537.92 J

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-scientists plan in going deeper than 120 meters

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