Discussion Section 5: Circular Motion - Solutions
I: Velocity
An object is moving around an oval track. With your group, sketch the trajectory of the
object on your whiteboard. Make your diagram large.
1. Choose a point to serve as an origin for your coor
Physics 41
Mechanics
Problem Set 3
Newtons 1st and 2nd Laws; Static and Dynamic Equilibrium
Written parts (14) are due by 6 p.m. Fri., Jan. 25, in your TAs mailbox in Hewlett.
The MasteringPhysics portion (item 5) is due online by 6 p.m. Fri., Jan. 25.
Re
Physics 41 Problem Set 5 - Challenge Problems
Jae Hwan Kang
January 31, 2013
1
Ch.8 Problem 59
In the absence of air resistance, a projectile that lands at the elevation from which it was launched
achieves maximum range when launched at a 45 angle. Suppos
Physics 41
Mechanics
Problem Set 2
Kinematics in One Dimension
Written parts (14) are due by 6 p.m. Fri., Jan. 18, in your TAs mailbox in Hewlett.
The MasteringPhysics portion (item 5) is due online by 6 p.m. Fri., Jan. 18.
Review Ch. 2 and 3 in Knight.
Problem Set 2 Solutions
Alborz Bejnood, Byungwoo Kang
Stanford University
January 20, 2013
1
Moon Astronaut
Part (a) The velocity of the rock at time t is dependent on both the initial upward velocity v(t = 0) and the
Moons gravity, as the rock initially
Week 2
Challenge Problem
Exercise: Find a combination of c, h, and G that has dimensions of length
(call this length lP ), of time (tP ), and of mass (mP ).
2
L
L3
Solution: We began with the constants [c] = T , [h] = M L , [G] = M T2 .
T
For a general co
Physics 41 Problem Set 3 Solutions
1
Object Under Forces
Figure 1: Free body diagram for 1a.
b) Initially at time t = 0, the object is at rest. Therefore its initial velocity is zero. v(0) = 0
The object is at the origin at time t = 0, so the initial posi
Physics 41
Mechanics
Problem Set 1
Dimensions; Kinematics in One Dimension
Written parts (1, 2, 3) are due by 6 p.m. Fri., Jan. 11, in your TAs mailbox in Hewlett.
The MasteringPhysics portion (item 4) is due online by 6 p.m. Sun., Jan. 13.
Read Preface
Discussion Section 9: Potentials and Conservative Forces
Consider the following graph of potential energy U (x) versus position x for a one dimensional system in which all forces are conservative; i.e., Emech = K + U is conserved. In
order to build physic
Part B Written Problems - 48 Points Total
1. (24 points) Consider a completely inelastic collision between two hacky sacks on a
frictionless table top. According to a student sitting at the table, hacky sack 1 travels
with speed on and collides head-on wi
Discussion Section 10: Rotational Motion II
For reference, some common moments of inertia:
Cylindrical hoop or ring, about center: M R2
1
Solid cylinder or disk, about center: 2 M R2
Solid sphere, about diameter: 2 M R2
5
1. Consider a washer of mass M
Discussion Section 10: Rotational Motion II
For reference, some common moments of inertia:
Cylindrical hoop or ring, about center: M R2
Solid cylinder or disk, about center: 1 M R2
2
Solid sphere, about diameter: 2 M R2
5
1. Consider a washer of mass M
Discussion Section 9: Potentials and Conservative Forces
Consider the following graph of potential energy U (x) versus position x for a one dimensional system in which all forces are conservative; i.e., Emech = K + U is conserved. In
order to build physic
Discussion Section 4: Friction, Pulleys, Tension
Part I
Discussion Section 4: Friction, Pulleys, Tension
Part I.
1. A block is given a small push to get it moving down a ramp that has some friction.
1. A block is given a small push to get it moving down a
Discussion Section 8: Springs, Work, and Energy
I: Springs
1. A spring can be stretched by 6cm compared to its equilibrium length with an applied
force of F = 1N to the right. What is its spring constant, k?
Hookes law tells us that the force is the sprin
PHY41 Problem Set 3 - Challenge Problems
Andrei Kamalov
January 21, 2013
problem 6.66
part a
Terminal speed implies that an object in free-fall has attained a speed that
cannot be exceeded due to drag. This is to say, the object in question (a dust
partic
Pat Burchat, January 2013
Physics 41 Problem Set 2 Challenge Problem
Fundamental Constants of Nature and Plancks Units
The challenge problem is optional and will not be graded.
1
Three Fundamental Constants of Nature
Special Theory of Relativity
The funda
PHYSICS 41- Problem Set 4 Solutions (Final)
Jake How, Lampros Lamprou
February 3, 2013
1
Problem 1
We call the vertical axis z and we choose the positive direction to point upwards.
The forces are shown in the free body diagram.
(a) Newtons 2nd law:
mass
Physics 41
Mechanics
Problem Set 10
Moment of Inertia; Rotational Energy
Static and Dynamic Equilibrium
Written parts (1-3) are due by 6 p.m. Fri., March 15, in your TAs mailbox in Hewlett.
No late problem sets will be accepted. Solutions will be posted
Problem Set 9 Challenge Problem
Lucas Peeters, [email protected]
March 2, 2013
1
Relativistic energy
The second-order Taylor expansion around x = 0 for any well-behaved function f (x) is
1
f (x) f (0) + f (x)x + f (x)x2
2
(1)
which we we will use with
PH 41 W13- Problem set 10 Solution Draft
Emperor Jiecheng Zhang, Andrei Kamalov (with some edits by Pat Burchat)
March 15, 2013
1
Door on Hinges
(a) Extended free body diagram
(b) For the rest of this problem, we will follow the convention dened in
our fr
Pat Burchat, March 2013
Physics 41 Problem Set 9 Challenge Problem
This challenge problem is optional and will not be graded. If you are interested in
learning more about Einsteins Special Theory of Relativity, consider taking PHYSICS
70, Introduction to
Physics 41 Winter 2013 Homework 9
Alexander Hristov, Yajie Yuan
March 3, 2013
Problem 1
Part (a)
As directed, I begin with
Ug =
The key step is to rewrite the denominator as RE (1 +
Ug =
GMe m
.
RE + h
h
RE ),
GMe m
1
GMe m
=
h
RE 1 + R
RE
while the num
PHYSICS 41- Problem Set 8 Solutions
March 1, 2013
1
Problem 1
(a) Before the impact of the meteor, the relevant forms of energy are the gravitational potential
energy of the meteor Ug , and the kinetic energy of the meteor KM .
Before impact, the gravitat
Physics 41
Mechanics
Problem Set 9
Power; Conservative Forces
Torque; Center of Mass; Static Equilibrium Revisited
Before tackling problem 3 below and the last assigned MasteringPhysics problem (Person on a
Ladder), review Problem Solving Strategy 12.2 on
Physics 41
Mechanics
Problem Set 7
Kinetic and Gravitational Potential Energy; Collisions
Written parts (13) are due by 6 p.m. Fri., Feb. 22, in your TAs mailbox in Hewlett.
The MasteringPhysics portion (item 4) is due online by 6 p.m. Fri., Feb. 22.
Solu
Physics 41
Mechanics
Problem Set 8
Elastic Potential Energy; Work
Written parts (1-3) are due by 6 p.m. Friday, March 1, in your TAs mailbox in Hewlett.
The MasteringPhysics portion (item 4) is due online by 6 p.m. Saturday, March 2.
Read Secs. 10.4-10.6