The law of conservation of momentum and the conservation of energy help us better define understand collisions. The objective of this lab was to learn how to apply them correctly and to better understand collisions. In this lab a two cart track system is used that created collision scenarios that had to be examined and broken down. The information from these collisions supported the law of conservation of momentum and the conservation of energy. Also a video of two pucks colliding with each other was used. This video was then used in Logger Pro to get information about the velocities surrounding their collision. Then that information was used and compared to the law of conservation of motion and energy conservation. The data supported our hypothesis; which stated that the law of conservation of momentum and energy conservation would be upheld.

...Pre-lab:
Newtons Three Laws of Motion:
There are three laws of motion that have been stated by Sir Isaac Newton during the sixteenth century that are looked upon even today.
The first of these laws states that an object will stay in at rest or in a constant velocity unless a force acts upon it. In simplest terms this means that if u place an apple on the table it isn't just going to roll off.
The second of these laws states that when a force acts upon an object it causes it to accelerate, and the greater the mass of the object the more of the force will be needed to push it. Basically this means that it takes more force to move a heavy object than it does to move a lighter object. The Second Law of Motion can be stated as Force = (Mass)(Acceleration).
The third and final law of motion states that for every action there is an equal and opposite reaction. This simply means that pushing on an object causes that object to push back against you, the exact same amount, but in the opposite direction.
Motion:
Motion is movement. It is the act of moving and remaining at rest. When you have motion you have a velocity that is greater than zero.
Force:
A force is anything that causes an object to move and accelerate which would be still if the force was absent.
Inertia:
Inertia is remaining at a constant velocity or at rest without any external force...

...For other uses, see Force (disambiguation).
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See also: Forcing (disambiguation)
Force
Force examples.svg
Forces are also described as a push or pull on an object. They can be due to phenomena such as gravity, magnetism, or anything that might cause a mass to accelerate.
Common symbol(s): F, F
in SI base quantities: 1 kg·m/s2
SI unit: newton
Derivations from other quantities: F = m a
Classical mechanics
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In physics, a force is any influence that causes an object to undergo a certain change, either concerning its movement, direction, or geometrical construction. In other words, a force can cause an object with mass to change its velocity (which includes to begin moving from a state of rest), i.e., to accelerate, or a flexible object to deform, or both. Force can also be described by intuitive concepts such as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newtons and represented by the symbol F.
The original form of Newton's second law states that the net force acting upon an object is equal to the rate at which its momentum changes with time.[1] If the mass of the object is constant, this law implies that the acceleration of an object is directly proportional to the net...

...Laboratory V: Conservation of Momentum
Problem #1: Perfectly Inelastic Collisions
John Greavu
April 17, 2013
Physics 1301W, Professor: Evan Frodermann, TA: Mark Pepin
Abstract
A cart was given an initial velocity toward another stationary cart down a track. The initial velocity of the first cart as well as the masses of both carts was varied throughout multiple trials. Velcro placed on the ends of the carts caused the cars to stick together after colliding. Videos of the collision and the seconds just before and after were taken. Data was then uploaded and plotted in MotionLab were it was used to create construct velocity vs. time graphs for each trial. After analyzing the data and the subsequent graphs the final velocity equation for two objects (each of known mass) that have collided directly head-on in a perfectly inelastic collision was determined as a function of the initial velocities and masses of the two objects.
Introduction
“You work for NASA with a group designing a docking mechanism that would allow two space shuttles to connect with each other. The mechanism is designed for one shuttle to move carefully into position and dock with a stationary shuttle. Since the shuttles may be carrying different payloads and different amounts of fuel, their masses may not be identical: the shuttles could be equally massive, the moving shuttle could be more massive, or the stationary shuttle could have a larger mass. Your supervisor wants you to calculate the...

...Accelerated Motion
This is an example of a laboratory report. For a detailed description of how to complete a lab report,
consult the laboratory manual. When writing your lab reports, use your own words. Do not copy from this
sample or from the laboratory manual.
Your name:
Lab partners’ names:
PHYS 1.2 L
Section:
Instructor: Prof. Gelman
Date:
Objectives
To investigate the properties of a uniformly accelerated cart moving down an inclined
plane. To measure the instantaneous velocity and to determine the acceleration of the
cart from the slope of the velocity-time graph.
Theoretical Background
A cart moving down a smooth incline speeds up. This is a simple case of a uniformly
accelerated motion in one dimension. The rate of change of velocity is constant or
uniform. The rate of change of velocity is called acceleration. To determine the
acceleration, one needs to measure the velocity at two different points along the incline,
v and v0, and to measure the time t it takes a cart to move between the two points. Then
the acceleration is given by,
The SI unit for the acceleration is 1 m/s2. This equation can be rearranged as,
This equation gives the future velocity v in terms of the initial velocity v0, acceleration a
and elapsed time t. According to this equation, the velocity-time graph for uniformly
accelerated motion is a line with a slope equal to a, and y-intercept equal to v0.
There is another...

...E
Newton’s 1st Law: The cart is at rest and will remain at rest until a force is applied.
Newton’s 2nd Law: The two forces acting upon the cart (hand and fan) are equal so there is no acceleration. At 2.5 seconds the acceleration is changed because of the force of hand.
Newton’s 3rd Law: The force of hand is applied at 2.5 seconds so the cart moves towards the sensor as a reaction to the force.
Newton’s 1st Law: The force of hand is applied which puts the cart inmotion towards the sensor.
Newton’s 2nd Law: The force of hand is applied to the cart which changes the Acceleration and moves the cart towards the sensor.
Newton’s 3rd Law: Force of hand was applied at 2.5 seconds in Region A, the force of hand built momentum until the cart moves at the start of Region B. This motion continued until the force of fan overcame the force of hand, forcing the cart way from the sensor.
Newton’s 1st Law: Force of fan is applied to the cart which overcomes the force of hand putting the cart in motion away from the sensor.
Newton’s 2nd Law: Force of fan is applied changing the direction of the cart away from the sensor.
Newton’s 3rd Law: Force of fan overcomes the force of hand pushing the cart away from the sensor.
Newton’s 1st Law: Force of hand is starting to be applied which slows the cart as it approaches 2.0 meters.
Newton’s 2nd Law: Force of hand is slowing the cart and the momentum declines before coming to a...

...DISCUSSIONS 9
6.0 CONCLUSIONS 10
7.0 APPENDIX 11
ABSTRACT
Motion of the rocket is simulated using two numerical analysis methods. From the simulation different parameters such as altitude, velocity, acceleration and range for initial fuel flows were calculated.
Two numerical methods, Euler’s integration and 4th order Runge-Kutta integration are used for calculating different parameters for the vertically launched rocket. The efficiency and the accuracy of the methods were compared. It was found out that the 4th order Runge-Kutta is more efficient than Euler’s integration method for the given time step.
Also for the rocket given the optimal initial fuel mass flow rate for attaining the highest altitude is found to be 35.5 Kg/S which gives an altitude of 1362594 m.
1.0 INTRODUCTION
Rockets are important part of space travelling. But rockets are also in many other important applications. The basic understanding of the physics behind rocket motion is easier to understand as it obeys Newton’s laws of motion. But this understanding is not enough to design and test a rocket as there are other critical parameters that must be taken into account.
It is critical to know the trends in the rocket parameters such as its velocity, distance travelled and acceleration in order to design rocket for its appropriate application. For this simulating the motion of the rocket and...

...groove that imparts motion to a follower
➢ Cams are very important and frequently occurring elements in many types of machines – especially AUTOMATIC MACHINES
➢ Cams are the heart of such automatic devices as automatic devices as automatic machine tools, record changers, mechanical calculators, cash registers, and many other devices.
Types of Cams:
Motions Used for Cam Followers:
➢ Themotion of the follower is of primary interest in the analysis of existing cams or in the design of new cams.
➢ It is easier to analyze the motion of cam followers if their motion is plotted as a graph often referred to as DISPLACEMENT DIAGRAM
A. Displacement Diagram
B. Motions that are most commonly used:
1. Uniform Velocity (straight line) motion – UVM
2. Simple Harmonic Motion – SHM
3. Uniformly Accelerated motion (Parabolic Motion) – UAM or PM
4. Modified Uniform-Velocity Motion – MUVM
a. Arc method – MUVM-Arc
b. Uniform Acceleration Method – MUVM-UAM
5. Cycloidal Motion – CM
A. Uniform Velocity Motion (Straight Line Motion)
If the follower is to move with uniform velocity, its displacement must be the same for equal units of time....

...
For each problem (momentum, energy & mass),
we will start with an initial chapter dealing with
some results of the molecular theory of the
transport phenomena (viscosity, thermal
conductivity & diffusivity)
Then, proceed to microscopic level and learn how
to determine the velocity, temperature and
concentration profiles in various kinds of
systems.
Then, the equations developed at microscopic
level are needed in order to provide some input
into problem solving at macroscopic level.
At all three levels of description (molecular,
microscopic & macroscopic), the conservation
law play a key role.
Conservation law – keeping from change or to
hold ( a property) constant during an interaction
or process.
We consider two colliding diatomic molecules
system.
For simplicity we assume that the molecules do
not interact chemically and that each molecule is
homonuclear (molecules composed of only one
type of element).
The molecules are in a low-density gas, so that
we need not consider interactions with other
molecules in' the neighborhood.
In Fig. 0.3-1 we show the collision between
the two homonuclear diatomic molecules, A
and B, and in Fig. 0.3-2 we show the notation
for specifying the locations of the two atoms
of one molecule by means of position vectors
drawn from an arbitrary origin.
Total mass of the molecules entering and
leaving the collision...

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