The most efficient way to get to Mars
I.
Introduction
Launch
Phase angles and the home and transfer window
The Oberth Effect
Course Adjustments during transfer stage
Arriving at Mars and aerobraking
II.
Launch
Launching with the rotation of the eart
Example: Two blocks are connected by a light string that
passes over a frictionless pulley as in the figure below. The
system is released from rest while m 2 is on the floor and m1
is a distance h above the floor
(a) Assuming m1 > m2, find an
expression f
Lab 9
Vectors & Statics
Chris Lacayo
Partners: Armando Marin, Edgar Hurtado,
TA: Yiang Liu
PHY 122 Thurs 12:25-2:15pm
Abstract
The physics principle to be investigated was that the net force and net torque of a system in
equilibrium is zero. In the first
Lab 8
Rotation
Chris Lacayo
Partners: Armando Marin
TA: Yiang Liu
PHY 122 Thurs 12:25-2:15
Abstract
The physics principles to be investigated were the static moment of inertia and dynamic moment
of inertia, and determining whether they are truly equal. A
Lab 8
Rotation
Chris Lacayo
Partners: Armando Marin
TA: Yiang Liu
PHY 122 Thurs 12:25-2:15
Abstract
The physics principles to be investigated were the static moment of inertia and dynamic moment
of inertia, and determining whether they are truly equal. A
Lab 8
2-D Collisions
Armando Marin
Partner: Chris Lacayo
TA: Yiang Liu
PHY 122 Thurs 12:25-2:15
Abstract
We investigated the law of conservation of momentum and kinetic energy in
two-dimensional collisions. Theoretically, kinetic energy is conserved in
el
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1. A slab of mass m2=2.00 kg is attached by a string of negligible mass via a pulley to a hanging mass
m1=6.00 kg. Neglect the mass and friction of the pulley. For parts a)-b) the slab is frictionless :=0. For
parts c)-d) the slab has a coefficient of fri
Rotational Motion
Michael Weaver
Khadija Bazaid and Trevor Douglass
Group #2
TA: Prat Ramaprasad
Section #91270
Objective:
In this lab we take a look at the concept of the moment of inertia in a swinging pendulum
with different length axes.
Experimental D
Lecture 17
and as vectors
Rotational kinetic energy
Moment of inertia
Parallel axis theorem
It will be a good idea
to review lecture 6.
1
Linear and angular motion
Independent
Time-t
variable
Time-t
Variable
coordinate
Angle-
Position-x
dx
v
dt
First
der
Lecture 14
Mechanical energy
Conservation of energy
1
Mechanical energy is
E K U
Whenever nonconservative forces do no work, the
mechanical energy of a system is conserved. That is
Ei = Ef or K= U.
2
Example: A cart starts from position 4 with v = 15.0 m/
The Most Efficient Way to get to Mars
Physics 121
Mars has been identified by many people in the scientific community as the next logical
place to explore after the moon. It is much like Earth in that it has a tenuous atmosphere, has a
small presence of l
Lecture 18
Torque
Rotational form of Newtons 2nd law
1
A body can be set in rotational motion by the action of a
torque. A rotating (spinning) body will continue to rotate
unless it is acted upon by a torque.
hinge
Q: Where on a door do
you push to open i
Lecture 15
Momentum
Impulse
Conservation of momentum
Center of mass
Motion of the center of mass
1
Consider two interacting bodies:
F21
F12
Fnet
t
If we know the net force on each body then v at
m
The velocity change for each mass will be different if th
Lecture 20
Statics
1
The conditions for equilibrium are
F 0
0
To have static equilibrium p = 0 and L = 0 too.
You now need to draw extended free body diagrams.
That is the object should have physical extent and not
be a dot as was okay before. The force
Lecture 13
Conservative forces
Relationship between conservative forces and PE
Energy diagrams
1
Conservative Forces
The work done by a conservative force:
1. Can always be expressed as Uf Ui.
2. It is reversible.
3. It is independent of the path the body
Lecture 16
Collisions (1D, 2D; Elastic, Inelastic)
1
When there are no external forces present the momentum
of a system will remain unchanged. (pi = pf)
If the kinetic energy before and after an interaction is the
same, the collision is said to be elastic
Lecture 19
Rolling
Angular Momentum
Conservation of angular momentum
1
Rolling
An object that is rolling combines translational motion (its
center of mass moves) and rotational motion (points in the
body rotate around the center of mass).
For a rolling ob
Lab 5
Springs and Oscillators
Read the Lab Manual and complete the PreLab at the end of
this document. The PreLab is due at the beginning of the lab.
Introduction
In this lab you will measure the static behavior (stretch vs. force) of simple
springs, prac
Collisions 2D
Michael Weaver
Partners: Trevor Douglass, Khadija Bazaid
Group #2
TA: Prat Ramaprasad
Section #91270
Objective:
The purpose of this lab is to test the law of conservation of momentum in different
types of collisions as well as the conservati