P30+Momentum+&+Impulse

 =//Students will // explain how momentum is conserved when objects interact in an isolated system. =

Collisions 1D Simulate one-dimensional elastic and inelastic collisions in order to explore the conservation of momentum, conservation of kinetic energy, and elasticity. Web

Collisions 2D Simulate two-dimensional elastic and inelastic collisions in order to explore the conservation of momentum. Web/Video  Conservation of Momentum (Series: The Mechanical Universe) If the mechanical universe is a perpetual clock, what keeps it ticking? Taking a clue from René Descartes, momentum (the product of mass and velocity) is always conserved. Newton's laws embody the concept of conservation of momentum. Video (29 minutes) Constant Momentum <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Sir Isaac Newton's first and third laws describe how the change in momentum between two interacting objects is equal. Each object behaves as though it were a single body with all of its mass concentrated at a single point, called the centre of mass. Animated vector addition is used to show that the momentum of the center of mass is constant. <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Video (4 minutes) <span style="background-color: #c5eafc; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left;">Discovery of Momentum <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">René Descartes' law of inertia states that the total quantity of motion in the universe is constant. Furthermore, if a body is not interfered with, it will move in a straight line at a constant speed. This indicates that motion is conserved and that it can be transferred from one object to another. According to Newton's definition, the change in motion is proportional to the force impressed and it is made in the direction of the straight line in which the force is impressed; change in motion can be expressed by a differential equation. <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Video (6 minutes)

<span style="background-color: #c5eafc; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left;">Energy, Momentum and Mass (Series: The Mechanical Universe...and Beyond) <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">This video explores mass, momentum, and energy with respect to Albert Einstein's theories and Newton's laws. <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Video (29 minutes)

<span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #c5eafc; color: #006497; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left;">Momentum and Energy - Billiard Balls <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">The conservation of momentum and energy are used to analyze the possible motion changes that occur when two billiard balls collide. Using animated vector addition, it is found that the initial energy and momentum is always equal to the final energy and momentum. Furthermore, only two possible interactions can occur when the balls collide. <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Video (6 minutes) <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"> <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #c5eafc; color: #006497; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left;">Momentum Conservation <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Simulate two skaters (or blocks) pushing away from one another and analyze the velocity, kinetic energy, and momentum of each skater (or block) in order to explore the conservation of momentum. This applet may be used by itself or in conjunction with the accompanying lesson. <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Web/Video <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"> <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #c5eafc; color: #006497; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left;">Newton's Laws <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Pool ball collisions are used to demonstrate Newton's first law and Newton's second law. Also, the conservation of momentum is illustrated using vector diagrams. <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Video (2 minutes) <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"> <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #c5eafc; color: #006497; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left;">Planet Collision <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Simulate the one-dimensional collision of two planets and explore the application of Newton's Third Law by analyzing gravitational forces, velocity, momenta, kinetic energy, potential energy, and the total mechanical energy of the system. <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"><span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Web/Video <span style="background-color: #c5eafc; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left;">Roller Coaster Physics <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">This ExploreLearning Gizmo allows the user to explore the relationships among velocity, mass, friction, and momentum. The roller coaster hill height, car mass, and track friction are adjusted and the results observed. The force required to break an egg at the end of the track may be analyzed with dynamic line graphs displaying variables of motion including potential, kinetic, and total energies, and the x and y components of position, velocity, and acceleration for each trial. Web

<span style="background-color: #c5eafc; color: #006497; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left;">Summary - Particle Accelerator <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Dr. Goodstein explains that collisions are the only way we can study the subatomic world. Included is an animated tour of a particle accelerator, which utilizes collisions between subatomic particles to study their properties. <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Video (5 minutes)

<span style="background-color: #c5eafc; color: #006497; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 12px; text-align: left; text-decoration: none;">Air Track <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">In this ExploreLearning Gizmo, users investigate elastic and inelastic collisions with two gliders on a frictionless air track. The mass and velocity of the virtual gliders may be modified to produce different results. Conservation of momentum and conservation of kinetic energy are among the concepts explored. <span style="background-color: #fdfef5; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">Web <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;"> <span style="background-color: #fdfef5; display: block; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 11px; text-align: left;">