8.012 Fall 2008
Problem 1: Quick Multiple Choice Questions [10 pts]
For each of the following questions circle the correct answer. You do not need to
show any work.
(a) Which of the following is not a valid force law?
where b has units of
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
8.044 Statistical Physics I
Spring Term 2003
Problem 1 (35 points) Isotopic Abundance
A certain element has three stable isotopes with atomic weights A = n, n +
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Problem 2 (25 points)
Shown below are plots of voltage V(t) and current l(t) for an RLC
series circuit connected to an AC power supply.
(a) How big is the impedance Z of the circuit in Ohm?
. V». - 3.
Z - if :L/L
(b) How big is the applied frequency f of
HW Solutions # 14 - 8.01 MIT - Prof.
Relativity. 1) 37.20
Relativistic Relative Velocity
Write dierential form of Lorentz transformation: x = (x ut) t = (t ux/c2 ) 1 = 1 u2 /c2 which is: dx = (dx udt) dt = (dt udx/c2 ) Divide (2) by (1) youll get
HW Solutions # 13 - 8.01 MIT - Prof.
Harmonic Oscillators and Relative Motion.
Vibration Isolation System
a) Lets denote the table displacement from equilibrium with Y . The Newtons second law fy = may for the box will read:
d2 Y (1) M 2 = k (
HOMEWORK #13 - 8.01 MIT - Prof. Kowalski
Due 4:00PM Thursday Dec. 4, 2003
Topics: Harmonic Oscillators and Relative Motion
Any following problems designated with a bold number indicate problems from Young
and Freedman 11th edition.
Centripetal force for a particle in uniform circular motion.
Forces on a body whirling in a vertical circle with center at O.
The total displacement from a to b has been divided into small intervals of x.
The straight line is a plot of the function Fx (x)
Since not everyone has the Special relativity supplement from Young and l-recdman 1 lm
edition. this assignment will be posted only in Mastering lliysits.
37.20 Two particles in a high-energy accelerator experiment are