Momentum

__//Definitions//__
Momentum is the product of the mass and velocity of an object (P=mv).-danwisniewski

It is sometimes referred to as linear momentum to distinguish it from the related subject of angular momentum.-danwisniewski

Linear momentum is a vector quantity, since it has a direction as well as a magnitude.-danwisniewski

Momentum is a conserved quantity, meaning that the total momentum of any closed system (one not affected by external forces) cannot change.-danwisniewski Momentum is a vector. That means that momentum is a quantity that has a magnitude, or size, and a direction. - Rishi

Since momentum is conserved in a system, the equation m1(v1) +m2(v2) = m1(v1) + m2(v2) for an elastic collison, where m1 and m2 are masses of objects and v1 and v2 are velocities. The momentum before and after the collison is equal. - kboyk

Momentum relates to moving things.It is a product of the mass of an object and its velocity.The greater the mass of that object, the more the momentum. -AEdenburg2

When a force acts on a body that is moving, or able to move, a change in momentum occurs. Momentum is conserved in any collision when no external forces act on the colliding bodies. -AEdenburg2

Newton's first law of motion: An object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. -ebrobson

__//Pictures//__
In this picture the players use their force to stop each other on the feild. The one player has momentum as he is running towards the other one.In order to stop him the momentum is changed as the tackler applies impulse in the opposite direction.-AEdenburg2 awillcox This picture shows an example of the conservation of momentum using pool balls -l_ridgeway. this shows young adults participating in the conservation of momentum-l_ridgeway

//__Examples out in the world, or real applications of Conservation of Momentum__//
For example, a gun and a bullet. Momentum is conserved between the bullet and the gun before and after the bullet is expelled from the barrel. - kboyk

__//Problems//__:
Which requires more work to stop--a light truck or a heavy truck, both moving at the same momentum? A heavy truck needs more energy to stop because its momentum is greater, thus requiring more force to stop. - rbambal A heavy truck. awillcox They both require the same amount of work to stop because momentum=mass (velocity) it says both have the same momentum, therefore the heavier truck must have a slower velocity. They both require the same amount of work to stop because they both have the same momentum. - kboyk Same amount of work. Their masses and speeds might be different but their overall momentum is the same, therefore, the two balance out to equal each other, so the same amount of work is needed to stop each one. -gwang The trucks both need the same amount of work to stop because, as stated, they have the same momentum. -lfabia Since both have the same momentums their masses don't matter and they would require the same amount of work to stop - Matt Both the light truck and the heavy truck require the same amount of work in order to stop. They may have different masses, but as long as their momentums are the same, they will require the same amount of work to stop. -jarediscool They require the same amount of work to stop because if they already have the same momentum then their size does not matter. - ebrobbbb __....................................................................................................................................................................................................__ If a moving object doubles its speed, how much more momentum does it have? How much more energy does it have? How much more impulse does it provide to whatever it bumps into? How much more work does it do as it is stopped?

Well, it has double the amount of momentum since p=mv and if you double speed, you double velocity and thus double momentum. Impulse would also double since it is a measure of an object's change in momentum. Now due to the fact that the speed is doubled, the object moves twice as far. Thus, the amount of work needed to stop it is doubled, because the distance traveled is doubled. But, the energy within the system does not change because energy can neither be created or destroyed, it merely changes form. -lfabia

Momentum, energy, impulse, and work to stop would all double. The speed increases the momentum which increases the impulse, and with more momentum there is more energy and more work needed to stop. - Matt

If you double the speed, the momentum would double. (p=mv) Since Impulse is a change in momentum, it would also double. Since the momentum doubled, the amount of work required to stop the object would also increase. -jarediscool

Everything would double if the speed is doubled because momentum is P=MV and by doubling the speed, the velocity is double which in the end doubles the momentum. Impulse is also directly effected by momentum, so if momentum doubles so will it. Now with the impulse and momentum doubled, twice the amount of energy is needed in order to stop it. -gwang __....................................................................................................................................................................................................__ Suppose a ball of putty moving horiontally with 1 kg m/s of momentum collides and sticks to an identical ball of putty moving vertically with 1 kg m/s of momentum. Why is their combined momentum not simply the arithmetic sum, 2 kg m/s? Because momentum is a vector quantity you cannot simply add the numbers when they are moving in different directions. awillcox There momentum is based on the mass and velocity. So when the 2 collide together, not only is their velocity changed but the mass has increased. Therefore, you can't simply just add them together. -gwang Yeah you can't just add then up because of the fact that one is going horizontally and the other is going vertically. You would have to use the pythagorean theorem somehow to figure out their combined momentum. -lfabia I agree with lance on the pythagorean theorem since one is going vertically and the other horizontally the hypotenuse of about 1.4 would be the new momentum. - Matt I'm going to go with that whacky triangle theorem. If the two balls collide, their momentum will shift to a diagonal direction, thus the triangle theorem will measure the hypotnuse, or their combined momentum. -jarediscool Momentum, being a vector, has both quantity and direction to take into account when combining more than one. Their combined momentum could be determined using the pythagorean theorum. - ebrobby.