Problem 22: Escape Velocity and Mechanical Energy
The asteroid Toro, discovered in 1964, has a radius of about R = 5.0 km and a mass of
about mt = 2.0 1015 kg . Lets assume that Toro is a perfectly uniform sphere. What is the
escape velocity for an object
(a) An object with a mass m is on the floor of an elevator that is accelerating upward. (b) Forces acting on the object. (c) Forces acting on the elevator.
Spring, relaxed.
Spring, stretched by a length x.
Massachusetts Institute of Technology
Department of Physics
8.01T
Fall 2004
Study Guide Final Exam Solutions
Part A: Kinetic Theory, First Law of Thermodynamics, Heat Engines
Problem 1 Energy Transformation, Specific Heat and Temperature
Suppose a person
Problem Set 6
8.04 Spring 2013
Solutions
April 2, 2013
Problem 2. (10 points) Finding Meaning in the Phase of the Wavefunction
(a) (3 points) We calculate the expectation value of x in the usual way:
Z
Z
h new = dx new (x) new (x) = dxx(eiqx/~ (x) eiqx/~
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
Physics 8.07: Electromagnetism II
November 21, 2012
Prof. Alan Guth
QUIZ 2 SOLUTIONS
QUIZ DATE: NOVEMBER 15, 2012
PROBLEM 1: THE MAGNETIC FIELD OF A SPINNING, UNIFORMLY
CHARGED SPHERE (25 points)
Th
Problem 1: The Hydrogen Maser (Y&F 153)
Note: 1, 420,405, 751.786 % 1.42 x 109, to 3 signicant gures.
a) The time for one cycle is (1.42 X 109)_1 = 7.04 X 1010 s.
b) The number of cycles in 1h is (1.42 X 109) X 3600 = 5.11 X 1012.
c) During the age of the
8.04: Quantum Mechanics
Massachusetts Institute of Technology
Professor Allan Adams
Tuesday March 19
Problem Set 6
Due Wednesday April 3 at 10.00AM
Assigned Reading:
E&R
Li.
Ga.
Sh.
6all , G, H
71 9 , 8 1
4all , 5all , 61,2
5all , 7all
1. (10 points) Exam