The question is stated that: A woman stands on a scale in a moving elevator. Her mass is 60.0 kg, and the combined mass of the elevator and scale is an additional 815 kg. Starting from rest, the elevator accelerates upward. During the acceleration, the hoisting cable applies a force of 9410 N. What does the scale read during the acceleration? I'm unsure about how to draw the free-body diagram and as well as solving the equation. If there's any tips regarding this question it will greatly help! Thanks!

Question
Asked Sep 28, 2019

The question is stated that: A woman stands on a scale in a moving elevator. Her mass is 60.0 kg, and the combined mass of the elevator and scale is an additional 815 kg. Starting from rest, the elevator accelerates upward. During the acceleration, the hoisting cable applies a force of 9410 N. What does the scale read during the acceleration? 

I'm unsure about how to draw the free-body diagram and as well as solving the equation. If there's any tips regarding this question it will greatly help! Thanks!

check_circleExpert Solution
Step 1

Given:

Mass of the woman = 60 kg

Mass of the elevator plus scale = 815 kg

Tension in the cable = 9410 N

Step 2

Calculating the acceleration of the system:

T= 941ON
W=mal)
Let the ace o the elevator
a
ijht hanging
on the cable :
Total
melevatorscale
m
womman
eigt=(815 K60 Kg)2
0759 (downward force)
T- W(mta) a
From the
diagram,
amanging for a
9410 N-75x4 8)N
T- W
875 Kg
mTotal
835 m/s
Hence, a
O 454 m/s
875
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Image Transcriptionclose

T= 941ON W=mal) Let the ace o the elevator a ijht hanging on the cable : Total melevatorscale m womman eigt=(815 K60 Kg)2 0759 (downward force) T- W(mta) a From the diagram, amanging for a 9410 N-75x4 8)N T- W 875 Kg mTotal 835 m/s Hence, a O 454 m/s 875

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Step 3

Calculating the readin...

woMan
Scale
A scale reads the hormal reaction providud y
werght placed on it
Hence, veading
the
N
Gcale
Fom j
mma)a
w tmwoman)a
mwian)
muewauta)
Fe D
N-W
man,
oman
NI
11
Muna
wonan
Stabatitutng values,
N(60kg). 8 mytoq 54 m/s2
645.24 N 645N
645 N (approx)
Readiny af saali
help_outline

Image Transcriptionclose

woMan Scale A scale reads the hormal reaction providud y werght placed on it Hence, veading the N Gcale Fom j mma)a w tmwoman)a mwian) muewauta) Fe D N-W man, oman NI 11 Muna wonan Stabatitutng values, N(60kg). 8 mytoq 54 m/s2 645.24 N 645N 645 N (approx) Readiny af saali

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Newtons Laws of Motion

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