The linear momentum of a system of particles is simply the vector sum of the linear momentum of each of the particles.
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
A system of linear inequalities
A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
yes it is possible for a system of two linear inequalities to have a single point as a solution.
The main advantage is that many situations cannot be adequately modelled by a system of linear equations. The disadvantage is that the system can often get very difficult to solve.
A way to designate momentum is using P. You can simply write Pi=Pf. If you have multiple particles, use P1i, P2i, etc.
In an isolated system the total momentum of a system remains conserved. For example If you fire a bullet from Gun , bullet go forward with some linear momentum and in order to conserve the linear momentum the gun recoils
An isolated system can lead us to conclusion that the linear momentum is conserved. When the mechanical properties of a given system does not change, then the system is in an isolated state.
I believe that any particle in linear motion must also have some angular momentum because all particles have spin. In the case of a photon the spin, wavelength and angular momentum all vary with the relative linear velocity. So in my point of view time itself is the ratio between relative linear and angular momentum.
No. An object has momentum only if it is in motion..There are two kinds of momentum: linear momentum(or translational momentum), and angular momentum (or rotational momentum)..Linear momentum is a vector quantity and is calculated as mass x velocity (p = mv). Therefore, if an object's velocity is zero, then it has no linear momentum, but if an object is in motion, then it does have linear momentum..VERY IMPORTANT NOTE: Velocity, and therefore linear momentum, is always relative to the frame of reference. For a more complete discussion about velocity, see the related answer, referenced below, entitled 'How to Find Velocity'..Angular momentum is a pseudovector quantity that describes the momentum of an object that is spinning or rotating in place. An object has angular momentum only when it is spinning, or rotating about an axis. When an object is not spinning or rotating, then it does not have angular momentum..It is possible for an object to have only linear momentum, only angular momentum, or both angular and linear momentum. Note that this discussion falls apart in quantum mechanics, so we are only discussing classical physics - that is, every day observable objects, and not light particles (photons), electrons, or other quantum particles..All objects do have inertia, which is a resistance to a change in its momentum.
the principle that the total linear momentum in a closed system is constant and is not affected by processes occurring inside the system.
That means that there is a quantity, called momentum, that is conserved. Momentum is defined as the product of mass times velocity. If you add (product x velocity) for several items, or particles, before and after a collission for example, the total you get will not change. Note that, since velocity is a vector quantity, so is momentum, so if your items move in more than one dimension, you have to use vector addition.
Conservation of linear Momentum is independent of the coordinate system. It does not matter what coordinates are used. In a closed system, i.e. no external forces, momentum is conserved
linear momentum=product of mass and velocity
The conclusion for a lab about the conservation of linear momentum is exactly that. Linear momentum is conserved. Momentum p = m*v is a product of mass and velocity. The larger the mass or faster the velocity, the higher the momentum. It takes prolonged force to stop it. Also, if a closed system exists that is not affected by dissipative forces, the total momentum of the system will remain. In a collision between two objects, momentum is conserved.
A closed system
The same as momentum - sometimes called "linear momentum" to distinguish it from angular momentum. Linear momentum is the product of mass times velocity. It is a conserved quantity, making it very useful for certain calculations.