PHYS 151 Spring 2017
Alyssa Tsenter
Supplemental Instruction
[email protected]
http://www.usc.edu/si
Final Exam Review
A brief review of the new material:
Gravitation:
Newton proposed a force law that states that every particle attracts any other particle with a
gravitational force of magnitude:
࠵? = ࠵?
࠵?࠵?
࠵?
’
In a circular orbit,
F
G
=
.
With this new definition of gravity, we need a new form of gravitational potential energy:
࠵? = −
࠵?࠵?࠵?
࠵?
This value is negative because we set
as our
U=
0.
The initial speed needed to get a projectile to come to rest at
U=
0 is called the
and its formula is:
࠵? =
2࠵?࠵?
࠵?
Kepler’s Laws!
All planets move in elliptical orbits, with the Sun at one focus.
A planet sweeps out equal areas in the plane of the orbit in equal time intervals.
Period of rotation is proportional to the semimajor axis of its orbit.
࠵?

࠵?
’
’
=
࠵?

࠵?
’
.
࠵?࠵?
࠵?
’
=
4࠵?
’
࠵?࠵?
࠵?
.
*the 2
nd
equation holds for circular orbits if
a
is replaced with
r
(semimajor axis/radius)
0
th
Law of Thermodynamics:
Zeroth Law: If bodies
A
and
B
are each in thermal equilibrium with a third body
C
(the
thermometer), then
A
and
B
are in thermal equilibrium with each other.
The SI unit for temperature is
.
The equation of state for an ideal gas is given by:
࠵?࠵? = ࠵?࠵?࠵? =
࠵?
࠵?
9
࠵?࠵? = ࠵?࠵?
;
࠵?
Internal energy is associated with the microscopic components of a system and includes potential
and kinetic energy.
For an ideal gas it is defined as:
࠵?
=>?
=
3
2
࠵?࠵?࠵?
Heat is a mechanism by which energy is transferred between a system and its environment
because of
.
It is also the amount of energy
Q
transferred by this mechanism.
An equation for
Q
is:
࠵? = ࠵?࠵?∆࠵?
*when phase isn’t changing
It is really hard to measure
c
directly so we need to use
which let’s us
say
࠵?
DEFG
= −࠵?
HE?
To account for heat released/absorbed by a phase change need to take into account latent heat of
fusion (solid to liquid) and of vaporization (liquid to gas).
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
PHYS 151 Spring 2017
Alyssa Tsenter
Supplemental Instruction
[email protected]
http://www.usc.edu/si
࠵? = ±࠵?࠵?
K EL M
1
st
Law of Thermodynamics:
1
st
Law: The increase in the internal energy of a thermodynamic system is equal to the amount of
heat energy added and the work done on the system by the surroundings.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '07
 Katz
 Thermodynamics, mechanics, Force

Click to edit the document details