1. a person weighing 490 N stands on a scale in an elevator. a. What does the sc

Question

1. a person weighing 490 N stands on a scale in an elevator.
a. What does the scale read when the elevator is at rest?
b. What is the reading on the scale when the elevator rises at a constant velocity?
c. the elevator slows down at -2.2m/s2 as it reaches the desired floor. what does the scale read?
d. The elevator descends, accelerating at -2.7m/s2. what does scale read?
e. What does the scale read when the elevator descends at a constant velocity?
Sippose the cable snapped and the elevator fell freely. What would the scale read

Explanation / Answer

Actual weight of a person W = 490 N

(a)

When the elevator is at rest, Reading on the scale W' = W = 490 N

(b)

Constant velocity means acceleration a = 0

Reading on the scale W' = W = 490 N

(b)

Reading on the scale W' = W(1 - a/g) = 490(1 + 0.224) = 599.7 N

(c)

Reading on the scale W' = W(1 - a/g) = 490(1 - 0.275) = 355 N

(d)

Constant velocity means acceleration a = 0

Reading on the scale W' = W = 490 N

(e)

Reading on the scale W' = 0

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