T5 SOLUTIONS (Waitz) a) Draw a thermodynamic cycle on p-v and T- v diagrams consisting of Leg 1-2: adiabatic expansion
Leg 2-3: constant volume heat addition
Leg 3-4: constant pressure expansion
Le
Massachusetts Institute of Technology
Physics Department
Physics 8.20
Special Relativity
IAP 2005
January 18, 2005
7:309:30 pm
Midterm
Instructions
This exam contains SIX problems pace yourself acco
UNIFIED ENGINEERING
Fall 2003
Ian A. Waitz
Problem T2. (Unified Thermodynamics)
Consider the helium tank from the gas-pressurized, bipropellant, 4th-stage rocket engine
from homework T1.
Assume the in
8.251 Test
B. Zwiebach Only personal 2 page notes allowed. Test duration: 60 minutes. Problem 1. (10 points) Boundary conditions for open strings.
Consider two static D2-branes in four dimensional s
UNIFIED ENGINEERING
Fall 2003
Ian A. Waitz
Problem T1. (Unified Thermodynamics)
Below is a schematic diagram of a helium-pressurized, bipropellant rocket engine system
(for the fourth stage of the Pea
Solution to T1 by Waitz. (Unified Thermodynamics)
Below is a schematic diagram of a helium-pressurized, bipropellant rocket engine system
(for the fourth stage of the Peacekeeper ballistic missile). D
UNIFIED ENGINEERING
Fall 2003
Ian A. Waitz
Problem T6. (Thermodynamics)
Consider the following thermodynamic cycle. Assume all processes are quasi-static and
involve an ideal gas.
3
p
Const. volume
he
8.251 2005 Midterm Solutions
Question 1
z = x
=0
y = x
=
x = x
X 0 (, 1 )
X 1 (, 1 )
all Free
X 2 (, 1 )
X 0 (, 0),
X 1 (, 0),
X 2 (, 0),
X 3 (, 0) = a
X 3 (, 1 ) = 0
Dirichlet
Question 2
y
i
x
(a)
C5 Solutions
1. Convert the following base 10 numbers into 8-bit 2s complement notation
0, -1, -12
To Compute 0
0 = 00000000
To Compute 1
Step 1. Convert 1 to binary
00000001
Step 2. Flip the bits
11
Massachusetts nstitute of Technology
Physics Department
Physics 8 20
Introduction to Special Relativity
Midterm Exam Solutions
.
IAP 2005
a) 1. The laws of physics should take the same form in all ine