Scenario m (kg) F mg (N) T (N) a (m/s 2 ) 1) While on the 1 st floor 0.5 4.9 4.9
ID: 1359783 • Letter: S
Question
Scenario
m
(kg)
Fmg
(N)
T
(N)
a
(m/s2)
1) While on the 1st floor
0.5
4.9
4.9
0
2) While accelerating up from the 1st floor to the 2nd floor
5.6
1.4
3) While between floors moving up from the 1st floor to the 2nd floor
4.9
0
4) While decelerating at the 2nd floor
4.6
-0.6
5) While at rest on the 2nd floor
4.9
0
6) While decelerating from the 2nd floor to the 1st floor
4.6
-0.6
7) While between floors moving down at a constant speed
4.9
0
8) While accelerating up the 1st floor
5.6
1.4
9) While at rest on the 1st floor
4.9
0
Table 1
1.) State the maximum positive acceleration when ascending (from the 1st floor to the 2nd floor)?
2.) State the maximum negative acceleration (deceleration) when descending (from the 2nd floor to the 1st floor)?
3.) The elevator designers chose the magnitude of the maximum positive acceleration when ascending to be significantly greater than the magnitude of the maximum negative acceleration (deceleration) when descending; however, both magnitudes of acceleration are significantly smaller than the magnitude of the acceleration due to gravity.
3a.) Hypothesize the rational of the elevator designers to choose the magnitude of the maximum positive acceleration when ascending to be significantly greater than the magnitude of the maximum negative acceleration (deceleration) when descending.
3b.) Hypothesize the rational of the elevator designers to choose the magnitude of the maximum positive acceleration when ascending and the magnitude of the maximum negative acceleration
Scenario
m
(kg)
Fmg
(N)
T
(N)
a
(m/s2)
1) While on the 1st floor
0.5
4.9
4.9
0
2) While accelerating up from the 1st floor to the 2nd floor
5.6
1.4
3) While between floors moving up from the 1st floor to the 2nd floor
4.9
0
4) While decelerating at the 2nd floor
4.6
-0.6
5) While at rest on the 2nd floor
4.9
0
6) While decelerating from the 2nd floor to the 1st floor
4.6
-0.6
7) While between floors moving down at a constant speed
4.9
0
8) While accelerating up the 1st floor
5.6
1.4
9) While at rest on the 1st floor
4.9
0
Table 1
Explanation / Answer
a)
The acceleration is positive when accelerating from 1st to 2nd floor with 1.4m/s^2
b)
The decleration is negative when descents from 2nd to th first floor with - 0.6m/s^2
c)
The net acceleration of the object (g+a ) is maximum while ascending and (g-a) is minimum while decending.
d)
During ascending the objct has (g+a) is maximum and when slowing down at the second floor the acceleration is negative.
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