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Please show all work and explain as best you can so I know how to approach/work

ID: 1259476 • Letter: P

Question

Please show all work and explain as best you can so I know how to approach/work through the problem! Thank you.

A 53kg Woman stands on a scale in an elevator. The floors of the building are 3.8m apart. Give the scale reading during the following intervals.

a) The elevator is at rest for 5.8 seconds on the first floor

b) It starts upward and reaches the seventh floor in 6.3 seconds

c) It slows down and stops on the thirteenth floor

d) It remains on the thirteenth floor for 9.2 seconds

e) It starts downward and reaches the fifth floor in 8.7 seconds

f) It slows down and stops on the second floor

g) It remains on the second floor for 3.2 seconds

Explanation / Answer

a) Wapp = m*g = 53*9.8 = 519.4 N

b) y = 0.5*a*t^2

a = 2y/t^2 = (2*7*3.8)/(6.3*6.3) = 1.34


Wapp = m*(g+a) = 53*(9.8+1.34) = 590.42 N

c) Wapp = m*g = 53*9.8 = 519.4 N


d) Wapp = m*g = 53*9.8 = 519.4 N


e) y = 0.5*a*t^2

a = 2y/t^2 = (2*3*3.8)/(8.7*8.7) = 0.301


Wapp = m*(g-a) = 53*(9.8-0.301) = 503.447 N


f) Wapp = m*g = 53*9.8 = 519.4 N


g) Wapp = m*g = 53*9.8 = 519.4 N

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