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**1. Homework Statement**

Karen has a mass of 54 kg as she rides the

up escalator at Woodley Park Station of the

Washington D.C. Metro. Karen rode a dis-

tance of 59:5 m, the longest escalator in the

free world.

The acceleration of gravity is 9:8 m=s2 :

How much work did the escalator do on

Karen if it has an inclination of 29:4±? Answer

in units of J.

**2. Homework Equations**

W=F*x*cos(theta)

where F= force, x is displacement and theta is the angle between the 2

**3. The Attempt at a Solution**

I first drew a force diagram. And used it to figure out this:

mg=529.2N

F=529.2*cos60.6=259.786N <-force of escalator

Next i plugged it into the Work equation:

the angle between the displacement and force is 0, so cos(theta)=1:

W=259.786*59.5*1=15457.28285J

is this right? I just need a confirmation, because I can't afford to get this wrong. Ty in advance