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Ballistic Pendulum and Conservation of Momentum|
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Ariel F. HerreraMatthew Graham ( departner)Physics 1 research lab (Monday)|
10/18/2011|
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1. Abstract:
In this experiment, our objective is to corroborate one the most important and frequently hired tools of physics: the law of conservation of impulsion, while also determining the original focal ratio of the pendulum. We do so by comparing results from devil experiments conducted with a single clumpistic establisher/pendulum apparatus. In the first, we use kinematics methods alone to determine a mean initial velocity for a projectile. In the second, we add a clumpistic pendulum and withhold a projectile velocity using conservation of momentum and skill principles. Our results show momentum and kinematics methods yield highly accurate, most identical, results with % error value within 3.8%.
2. Introduction/Theory:
Part 1: The ballistic pendulum is a device where a ball is shot into and captured by a pendulum.
The pendulum is initially at tolerate but acquires talent from the collision with the ball. Using conservation of energy it is possible to find the initial velocity of the ball.
momentum= messiness*velocity
p=mv
Law of Conservation of momentum: pbefore=p(after)
So in our experiment: pbefore=mv(of ball)
pafter=M+mV, so mv=M+mV
therefore, v=M+mm*V
Energy consideration:
Kinetic energy=potential energy
12*mv2=mass*g* lift lifted
m=mass, v=velocity
so,12*M+mV2=M+mgh
therefore,12*V2=gh , V=2gh
Putting both(prenominal) together:
v=(M+m2gh)/m
Part 2: Kinematics (using projectile gesticulate to get the v of the ball)
Strictly using kinematics methods, we can target an initial velocity for a projectile if we know its height of launch, and launch distance. To simplify our experiment, we choose a horizontal launch angle. Given the launch height, we can discover the time the ball takes to fall due to gravity (its time of flight) as follows:
h=12gt^2
t=2h/g
Velocity is simply distance(x or range) divided by...If you indispensableness to get a full essay, order it on our website: Orderessay
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