Andrea has a mass of 49 kg. She rides the up escalator at Ocean Park in Hong Kong. This is the world's longest escalator, with a length of 227 m and an average inclination of 31°. How much work does the escalator do on Andrea?
I have no idea... any help would be apprecaited
2007-12-16 13:08:21 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Physics
The height gained is h = ( 227 m ) ( sin 31 degrees ).
The work done is equal to the gain in potential energy, mgh. You know all three quantities; plug them in to get the work done.
2007-12-16 13:14:08 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋
Work = âPE = PE(f) - PE(i)
PE = mgh where m=mass,
g=gravitational acceleration, h =vertical height
h = sin(31Ë)227m = 116.91 m
therefore:
PE = (49 kg)(116.91m) (9.81m/s^2) = 56,199.23 J
âPE = 56,199.23 J - 0 J
Work = 56,199.23 J
2007-12-16 13:17:47 · answer #2 · answered by Bernard 4 · 1⤊ 0⤋