This is a potential energy graph as a function of position. You can also call the roller coaster graph, where U(x) is chadging with x. In this graph, when the object is at X2, what would you do to prove that this stable equilibrium point? O a.if O b. if a²u ->0 at X2, the equilibrium is stable dx² a²u <0 at X2, the equilibrium is stable

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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-8:
1076 148,434
@
US)
-U(x)
w
X₂
xy X₁
6
5
4-
3
2-
IF
This is a potential energy graph as a function of position. You can also call the roller coaster graph, where U(x) is changing with x. In this graph, when the object is at X2, what would you do
to prove that this stable equilibrium point?
O a. if
O b. if
Oc.if
::
F2
a²U
dx²
O d. if
->0 at X2, the equilibrium is stable
a²u
dx ²
a²U
dx²
<0 at X2, the equilibrium is stable
=0 at X2, the equilibrium is stable
a²u
->0 and Total enenrgy is zero at X2, the equilibrium is stable
dx²
31
80
F3
JAN
21
$
Q
F4
%
tv
♫ Q
F5
NAO
c
F6
&
2982
O
F7
*
8
DII
F8
9
F9
A
F10
F11
F12
Transcribed Image Text:-8: 1076 148,434 @ US) -U(x) w X₂ xy X₁ 6 5 4- 3 2- IF This is a potential energy graph as a function of position. You can also call the roller coaster graph, where U(x) is changing with x. In this graph, when the object is at X2, what would you do to prove that this stable equilibrium point? O a. if O b. if Oc.if :: F2 a²U dx² O d. if ->0 at X2, the equilibrium is stable a²u dx ² a²U dx² <0 at X2, the equilibrium is stable =0 at X2, the equilibrium is stable a²u ->0 and Total enenrgy is zero at X2, the equilibrium is stable dx² 31 80 F3 JAN 21 $ Q F4 % tv ♫ Q F5 NAO c F6 & 2982 O F7 * 8 DII F8 9 F9 A F10 F11 F12
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