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The need instead to go down, and begin running
down the moving ladder with speed 2 m/s wrt the ladder.

Length of escalator is 50 m, inclination is 30 deg,
and speed is 1.5 m/s.

How much extra energy did escalator waste due
to their mistake?

Combined mass of all three is 200kg.

2007-06-06 10:51:23 · 2 answers · asked by Alexander 6 in Science & Mathematics Physics

2 answers

Assuming this is on earth and the acceleration of gravity is 9.8m/s.
The vertical component of the escalators velocity is .75m/s (1.5m/s * sin(30)
It will take 50m * 2m/s - 1.5m/s or 100 seconds to make the trip.

100s * .75m/s = 75m
75m * 200kg * 9.8m/s² = 147kJ

2007-06-06 19:50:15 · answer #1 · answered by tinkertailorcandlestickmaker 7 · 0 0

It took 25sec. of energy to move all three back down. Although it seems that the energy may be the same going up or down since it appears that their weight may have little or no influence on the wear and tear of the escalator. =<)

2007-06-07 04:39:16 · answer #2 · answered by Sir Grandmaster Adler von Chase 7 · 0 0

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