Question

Karen has a mass of 48.2 kg as she rides
the up escalator at Woodley Park Station of
the Washington D.C. Metro. Karen rode a
distance of 65.7 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 32.9?
Answer in units of J

Answer 1

m g h

h = 65.7 sin 32.9

Answer 2

Wt. = 48.2kg * 9.8N/kg = 452.8N.

Fp = 452.8*sin32.9 = 245.95N = Force
parallel to plane.

W=Fp*d = 245.95 * 65.7 = 16159 Joules.