An elevator shown below filled with passengers has a mass of 1650 kg. The elevator does motions (a) through (c) in succession. T meg For each of the parts below draw a free body diagram of the elevator in your notebook for each of the parts (a) to (c). Draw the acceleration and velocity vectors in the boxes. For each part, are the vectors for tension in the string and weight of the elevator of equal lengths or unequal lengths.

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Chapter5: Newton's Law Of Motion
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1. An elevator shown below filled with passengers has a mass of 1650 kg. The elevator does motions (a)
through (c) in succession.
meg
For each of the parts below draw a free body diagram of the elevator in your notebook for each of
the parts (a) to (c). Draw the acceleration and velocity vectors in the boxes. For each part, are the
vectors for tension in the string and weight of the elevator of equal lengths or unequal lengths.
y
1.
X
ME
m
a
Transcribed Image Text:1. An elevator shown below filled with passengers has a mass of 1650 kg. The elevator does motions (a) through (c) in succession. meg For each of the parts below draw a free body diagram of the elevator in your notebook for each of the parts (a) to (c). Draw the acceleration and velocity vectors in the boxes. For each part, are the vectors for tension in the string and weight of the elevator of equal lengths or unequal lengths. y 1. X ME m a
m
(a) The elevator accelerates upward from rest at a rate of 0.75
s²
(i) Newton's Second Law in the y-direction can be written as:
Instruction: If a is the magnitude of the acceleration, pick "1" if the acceleration is upwards,
pick "-1" if the acceleration is downwards, and pick "0" if there is no acceleration.
xmea
ΣF₁=T-meg=1
(ii) Calculate the tension in the cable supporting the elevator.
T= 17407.5
N
(iii) How high has the elevator moved during this time?
Ay= 0.79
(iv) Calculate the velocity of the elevator after this time.
v(t = 1.45 s) = 1.09
(b) The elevator continues upward at constant velocity for 8.1 s.
(i) Newton's Law in the y-direction can be written as:
Instruction: If a is the magnitude of the acceleration, pick "1" if the acceleration is upwards,
pick "-1" if the acceleration is downwards, and pick "0" if there is no acceleration.
m
m
S
xmea
ΣF₁=T-meg=
= 0
(ii) Calculate the tension in the cable supporting the elevator.
T= 17407.5
N
for 1.45 s.
(iii) How high has the elevator moved during this time?
Ay= 24.60
X m
m
(c) The elevator decelerates at a rate of 0.65 for 2.9 s.
s²
(i) Newton's Law in the y-direction can be written as:
Instruction: If a is the magnitude of the acceleration, pick "1" if the acceleration is upwards,
pick "-1" if the acceleration is downwards, and pick "0" if there is no acceleration.
ZF, T-mg= -1
xmea
Transcribed Image Text:m (a) The elevator accelerates upward from rest at a rate of 0.75 s² (i) Newton's Second Law in the y-direction can be written as: Instruction: If a is the magnitude of the acceleration, pick "1" if the acceleration is upwards, pick "-1" if the acceleration is downwards, and pick "0" if there is no acceleration. xmea ΣF₁=T-meg=1 (ii) Calculate the tension in the cable supporting the elevator. T= 17407.5 N (iii) How high has the elevator moved during this time? Ay= 0.79 (iv) Calculate the velocity of the elevator after this time. v(t = 1.45 s) = 1.09 (b) The elevator continues upward at constant velocity for 8.1 s. (i) Newton's Law in the y-direction can be written as: Instruction: If a is the magnitude of the acceleration, pick "1" if the acceleration is upwards, pick "-1" if the acceleration is downwards, and pick "0" if there is no acceleration. m m S xmea ΣF₁=T-meg= = 0 (ii) Calculate the tension in the cable supporting the elevator. T= 17407.5 N for 1.45 s. (iii) How high has the elevator moved during this time? Ay= 24.60 X m m (c) The elevator decelerates at a rate of 0.65 for 2.9 s. s² (i) Newton's Law in the y-direction can be written as: Instruction: If a is the magnitude of the acceleration, pick "1" if the acceleration is upwards, pick "-1" if the acceleration is downwards, and pick "0" if there is no acceleration. ZF, T-mg= -1 xmea
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