8/19/2015
Ch 1. Introduction and Mathematical
Concepts
1.1 The Nature of Physics
1.2 Units
1.3 The Role of Units in Problem Solving
1.4 Trigonometry
1.5 Scalars and Vectors
1.6 Vector Addition and Subtraction
1.7 The Components of a Vector
1.8 Addition of
PHY2053 Test Formula Sheet
Test I
RIGHT ANGLE TRIGONOMETRY
RESULTANT VECTOR
Rx = Ax + Bx + . Ry = Ay + By + .
O
H
A
cos =
H
O
tan =
A
sin =
H = O 2 + A2
Areas: Circle = r2
Ry
Rx
= tan 1
R = Rx2 + Ry2
Square: L2
Rectangle: L W
Triangle: bh
EQUATIONS
PHY 2053 Review Test I
Show all work in the spaces provided where appropriate. Label answer with its unit when appropriate.
1. Today, the standard unit of mass is defined in terms of:
_
2. The surface of a circular lake has an area of 15.5 km2. (a) What i
8/19/2015
Ch. 2 Kinematics in One Dimension
2.1 Displacement
2.2 Speed and Velocity
2.3 Acceleration
2.4 Equations of Kinematics for Constant Acceleration
2.5 Applications of the Equations of Kinematics
2.6 Freely Falling Bodies
2.7 Graphical Analysis of
8/19/2015
Ch. 3 Kinematics in Two Dimensions
3.3 Projectile Motion
3.3 Projectile Motion
The motion of an object near the Earths surface that is given an initial
horizontal velocity vox describes a 2-D curved path referred to as: projectile
motion. The a
Solution to Even Problems
Cutnell and Johnson 10th ed.
Ch01
Speed
#2
(a)
#16
H
6.9 m
#46
R
3.00 m
#50
R = 13 m
54.7
km
h
(b)
Speed
15.2
m
s
42.8 in 2nd quadrant (subtract from 180 = 137.2 )
52 in the 3rd quadrant (add 180o
232o )
Ch02
#28
a
#44
(a)
#46
v0
Session 4
a) How far does the spring compress before the mass stops?
Sessions Page 1
b) What is the magnitude of the spring force when the mass stops?
c) What is the speed of the mass when the amount of the spring force is 1000 N?
Sessions Page 2
Sessions
Example:
Escape velocity: If a rocket is launched from the surface of the earth, how fast does it need to
be going such that is escapes earth's gravity. That is, how fast must it be launched so that it
can get very far away from the earth.
Initial energy
Springs (Elastic force and potential energy)
Usually, one starts with the force of a spring, called the elastic force. I will instead start with the potential
energy of a spring which is due to the fact the elastic force is conservative:
Here, x, is how m
Total Kinetic Energy
Suppose we have a circular object (disk, ring, etc.), that's rolling without slipping. That is, each time the object
spins through some angle, it moves forward and does not spin in place:
R
R
If it rolls without slipping, the as it r
Homework 4
Thursday, October 1, 2015
11:00 PM
Homework Solutions Page 1
Homework Solutions Page 2
Homework Solutions Page 3
Homework Solutions Page 4
Problem 1 Solution
F1
m
3
y
1
x
F3
F2
First, sketch all forces (sketch weight and normal force):
Fn
F1
m
Examples:
1) Suppose we have the following:
They collide inelastically.
a) What is the velocity after the collision?
Lecture Notes Page 1
b) If the collision took place in a time of delta t, what's the average force on mass 1?
c) What's the average force
Session 1
a) What is the displacement vector from 1 second to 3 seconds?
b) What is the magnitude of the average velocity from 1 to 3 s?
c) What is the magnitude of the instantaneous velocity at 3 s?
Sessions Page 1
d) What's the angle of the velocity vec
Session 3
a) What does the minimum value of this force need to be such that the mass does
not slide at this angle?
Sessions Page 1
b) Suppose the force is 10 N and the coefficient of kinetic friction is 0.5, what is the
acceleration down the incline?
Sess
Session 2
a) Find the amount and direction of acceleration.
Sessions Page 1
b) If the masses started from rest, how long does it take mass 1 to move up 5 meters?
c) What is the tension in both ropes?
Sessions Page 2
Sessions Page 3
Tuesday, May 31, 2016
4
Assignment 8
1)
a) Sketch all forces on both masses:
Here the acceleration is zero because we need to find what mass 2 is to begin to move mass 1. Also, the
static frictional force is down the incline to prevent mass 1 being pulled up the incline. Sum for
5/27/2016
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A baseball is hit from home plate and lands in the stands. It lands a horizontal displacement of 150
m from home plate and is a vertical displacement of 30 m above its starting point. It's in the air for
4 s:
a) What's the magnitude of the initial velocit