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an100922w: HW 6
NAME:
DATE:
YrV
PERIOD:
800
7m
oo 600
.!l a
EEsm
&t
gEa00
8{t 300
ut
200
100
0
J, Tinc G)
51015
1) A student whose normal weight is 500 newtons stands on a scale in an elevator and records the scale
reading as a function of time. The data arc shown in the graph above. At time t : 0, the elevator is at
displacement x: 0 with velocity v: 0. Assume that the positive directions for displacement, velocity, and
acceleration are upward.
a. On the diagram below, draw and label all of the forces on the student att:8 seconds.
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I
b.
Calculate the acceleration a of the elevator for each 5-second interval.
i. Indicate your results by completing the following table.
Time Interval (s) 0-5
5-10
10-15
t5-20
o
a (mjs2)
ii. Plot the acceleration
(\a
as a
IL
0
-+
function of time on the following graph.
J
E
€o
cl
iD
$
<-5
,20
I
Time (s)
c.
Determine the velocity v of the elevator at the end of each 5-second interval.
i. Indicate your results by completing the following table.
Time
(s)
0-5
10- 15
?t)
0
v (ml s)
r5-20
{)
ii. Plot the velocity as a function of time on the following graph.
ll,q
6
|"^ Tirp (s)
)'l
t)
6
t)
Deterrnine the displacement x of the elevator above the starting point at the end of each 5-second
interval.
i. Indicate your results by completing the following table.
Time (s)
0-5
s-10
l0-1 5
15-20
x(m)
b
ii. Plot the displacement
ell
J.00
as a function of time on the following graph.
----1
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E
t)
150
----'t
e
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it)
o
cl
Erm
o
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Tinc (s)
Tefiiea}
P*sltis$tm)
Tissc {*}
2- The vertical p*ieitisn of an elevator as a firnf,tinn nf tirne is shcurn a.bove.
&- fln the grid b*l*w- grnph the velocity *f the elevat*r ar a functinn r:f tirne.
V*lecily {rt#*}
11*
4
yn
t]ng
J
t
4r*,y
*_ lJ*Q *_,l'Try
h^o
rfi ry
I
*
*rirne {r}
*ri,
iz * +4+ -l--.''f.---r-"I---Tt-"T.-"r.--|.-.-r+*
6 iA*\foinfuf,*{*i*i
l0 n 14 t6 lx 2$ 22 24*{26
-t
4. ot€
-.,
b+t=
w;_^)
1f-)A 'tfryJ
1
-4
b" i"
Cal*ulate the averag* ac*eleraticn fr;r the fime perind
fi,4w # Wu*s
r\ +lr
,r'
a u*
tr
{s * ff
t: I s to t = 1* s.
*-}
w' fr-*-Fl
f,H)' f,s)
#{*)
.*b*
flA
ii.
#n the box belnwthat
&vefags ncceleratien.
r*.pr*snmts the elevat*r, drnw n
vert*r t*l rep,ressnt th* directisn nf thi*
*1
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