Analysis:
Derive the formula which relates the tension in the string T , to the depth of the object
submerged in the fluid h . (Hint: The mass is in equilibrium when the tension and depth
measurements are taken, so start the derivation with the appropriat

Chapter 2
Describing Motion: Kinematics
in One Dimension
2-1 Position, Distance, and
Displacement
Before describing motion, you must set up a
coordinate system define an origin and a
positive direction.
2-1 Position, Distance, and
Displacement
The distanc

Questions:
1. Co-ordinate system
a. How many dimensions does the motion take place in?
The motion of the kart took place in 1-dimension, which was along the x-axis. This is
because the kart only traveled along the linear track, which was horizontal and no

Questions:
1. Use the formula for Tension and Acceleration that you derived in the prediction sheet to
determine values for a and T
a
aexperiment theory 100
atheory
error =
for all 7 runs. Calculate the percentage errors:
For the 7 accelerations and 7 te

Physics 101 Challenge Problems
Spring 2017
Due Tuesday, February 28
CHAPTER 3 Vectors
1. Look at the vector (see picture). It has the
components and with respect to the x and y
axes. Now ROTATE those axes counterclockwise
by an angle . Show that the NEW c

Physics 101 Challenge Problems
Spring 2017
Due Tuesday, April 11
CHAPTER 8 Conservation of Energy
.
1. A sled sits on the top of a frictionless hemisphere of radius . You
give the sled a tiny kick and its starts to slide down the hemisphere.
What is the a

Physics 101 Challenge Problems
Spring 2017
Due Tuesday, March 28
CHAPTER 7 Work & Energy
1.
.
. is perpendicular to and
= 3 6
has length 20. What is ?
= 2 3 + 2
2.
Calculate the work done by the force = (3 + 6 2 ) as it acts on a particle moving alo

Physics 101 Challenge Problems
Spring 2017
Due Thursday, March 9
CHAPTER 5 Using Newtons Laws; Friction,
Circular Motion, Drag Forces
1. A small bead of mass m slides freely (without friction) on a vertical hoop
of radius r that rotates about a vertical a

Physics 101 Challenge Problems
Spring 2017
Due Thursday, March 2
CHAPTER 4 Multidimensional motion
1. A projectile is launched from a height h below the top
of a roof that has a 90 angle (see picture). What must
the velocity of the projectile be so that i

Physics 101 Challenge Problems
Spring 2017
Due Tuesday, May 2
CHAPTER 11 Angular Momentum
1. A physical pendulum consists of a rod with a solid disk attached to the end
(see picture). In one case, the disk is attached to the rod so it cannot rotate.
In th

Physics 101 Challenge Problems
Spring 2017
Due Tuesday, April 25
CHAPTER 10 Rotation
1. A solid ball of mass and radius is thrown horizontally onto the floor at a speed (like a bowling
ball) so that it is not rotating. A few seconds later, because of fric

Physics 101 Challenge Problems
Spring 2017
Due Thursday, May 18
CHAPTER 13 Universal Gravitation
1. A science fiction story describes an artificial planet in the form of a
band completely encircling a sun (see picture). The inhabitants of this
planet live

Physics 102
Fall 2014
NAME:
Quiz 4 - Solutions
Make sure your name is on your quiz, and please box your final answer. Because we will
be giving partial credit, be sure to attempt all the problems, even if you dont finish them!
1. Find the divergence of th

Chapter 5
The Laws of Motion
The Laws of Motion
The description of an object in motion included its position, velocity, and
acceleration.
There was no consideration of what might influence that motion.
Two main factors need to be addressed to answer quest

Physics 102
Fall 2014
NAME:
Quiz 11 - Solutions
Make sure your name is on your quiz, and please box your final answer. Because we
will be giving partial credit, be sure to attempt all the problems, even if you dont finish them!
1. A circular loop made fro

Chapter 9
Linear Momentum and Collisions
Thought Experiment
An archer stands on frictionless ice and fires an arrow. What is the archers
velocity after firing the arrow?
Motion models such as a particle under constant acceleration cannot be
used.
No inf

Chapter 13
Universal Gravitation
Real-world Forces
Gravity
Electromagnetism
The Strong Nuclear Force
The Weak Force
Planetary Motion
A large amount of data had been collected by 1687.
There was no clear understanding of the forces related to these motion

Chapter 6
Circular Motion and
Other Applications of Newtons Laws
Circular Motion
Two analysis models using Newtons Laws of Motion have been developed.
The models have been applied to linear motion.
Newtons Laws can be applied to other situations:
Objects

Chapter 2
Motion in One Dimension
Kinematics
Describes motion while ignoring the external agents that might have caused or
modified the motion
For now, will consider motion in one dimension
Not necessarily along a straight line!
One number required to loc

1.
a. The motion takes place in two dimensions.
b. For the Run 1 the zero point is the point (0.6,0.7), for the Run 2 the zero point is (0.5,0.4), for
Run 3 up (0.5,0.9) Run 3 down (0.5,2.8)
c. The direction right and up are positive. They are positive be

1. Run 1: the theoretical acceleration is 0.547 m/s2 and the experimental acceleration is 0.490 m/s 2,
the error is 10.42 %. The tension theoretical is 0.486 N, and the tension experimental is 0.377 N,
the error is 22.43 %.
Run 2: the theoretical 0.799 m/

Chapter 12
Static Equilibrium
Static Equilibrium
Equilibrium implies that the object moves with both constant velocity and
constant angular velocity relative to an observer in an inertial reference frame.
Will deal now with the special case in which both

Chapter 3
Vectors
Vectors
What is a vector?
-A directed line segment
-An arrow in space that represents a physical quantity
-Something that has a magnitude AND a direction
-An abstract geometric object that transforms a certain way when a different
coordi

Chapter 11
Angular Momentum
Angular Momentum
Angular momentum plays a key role in rotational dynamics.
There is a principle of conservation of angular momentum.
In analogy to the principle of conservation of linear momentum
The angular momentum of an is

Chapter 4
Motion in Two Dimensions
Kinematics in Two Dimensions
Will study the vector nature of position, velocity and acceleration in greater detail
Will treat projectile motion and uniform circular motion as special cases
Discuss relative motion
Introdu

Chapter 8
Conservation of Energy
Energy Review
Kinetic Energy
Associated with movement of members of a system
Potential Energy
Determined by the configuration of the system
Gravitational and Elastic Potential Energies have been studied
Internal Energy

Chapter 7
Energy of a System
Some problems are hard to solve using Newtons Laws.
How fast is it going at the bottom?
Introduction to Energy
A variety of problems can be solved with Newtons Laws and associated
principles.
Some problems that could theoretic

Physics 1
Summer 2017
NAME:
Discussion Session 1
Math Review and 1D Motion Worksheet
The goal of Physics is to explain the Universe in terms of equations, and so the ideas
of mathematics are central to your success in Physics. You will need to be complete

?
A typical runner gains
speed gradually during
the course of a sprinting foot
race and then slows down
after crossing the finish line. In
which part of the motion is it
accurate to say that the runner
is accelerating? (i) During the
race; (ii) after the