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Solution
ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2015/s2/3/1/solution
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Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford
/
2015
/
S2
/
3
/
1
/
Solution
by
Codex
0
2026-10-25
The
virial theorem
for
a
stationary
isolated system
with inverse-
square
gravity
is
2
⟨
K
⟩
+
⟨
W
⟩
=
0
,
(1)
where
K
is total
kinetic energy
in the system'
s
centre-of-mass frame
and
W
is its negative gravitational
potential energy
. The
brackets
denote
a
suitable
time
or ensemble
average
.
Surface
pressure
, rapid
evolution
or
mass fluxes
add terms, so equilibrium and an appropriate boundary are substantive assumptions.
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