Relationship between momentum and inertia | Physics Forums
Momentum and inertia are related because the more momentum an object has, the more inertia it has as well. Both properties are dependent on the mass of the . Momentum vs Inertia Inertia and momentum are two concept involved in the study of motion of solid bodies. Momentum and inertia are used to describe the. Not only does momentum differ from inertia in that it relates exclusively to . can be used to derive the relationship between impulse and change in momentum.
Hence, the formula for momentum is usually shown as m v.
Linear Momentum and Its Conservation Momentum itself is sometimes designated as p. It should be stressed that the form of momentum discussed here is strictly linear, or straight-line, momentum, in contrast to angular momentum, more properly discussed within the framework of rotational motion. Both angular and linear momentum abide by what are known as conservation laws.
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These are statements concerning quantities that, under certain conditions, remain constant or unchanging. The conservation of linear momentum law states that when the sum of the external force vectors acting on a physical system is equal to zero, the total linear momentum of the system remains unchanged—or conserved.
The conservation of linear momentum is reflected both in the recoil of a rifle and in the propulsion of a rocket through space.
When a rifle is fired, it produces a "kick"—that is, a sharp jolt to the shoulder of the person who has fired it—corresponding to the momentum of the bullet. Why, then, does the "kick" not knock a person's shoulder off the way a bullet would?
Because the rifle's mass is much greater than that of the bullet, meaning that its velocity is much smaller. As for rockets, they do not—contrary to popular belief—move by pushing against a surface, such as a launch pad.
kinematics - Inertia Vs Momentum - Physics Stack Exchange
If that were the case, then a rocket would have nothing to propel it once it is launched, and certainly there would be no way for a rocket to move through the vacuum of outer space. Instead, as it burns fuel, the rocket expels exhaust gases that exert a backward momentum, and the rocket itself travels forward with a corresponding degree of momentum.
Systems Here, "system" refers to any set of physical interactions isolated from the rest of the universe.
Anything outside of the system, including all factors and forces irrelevant to a discussion of that system, is known as the environment. In the pool-table illustration shown earlier, the interaction of the billiard balls in terms of momentum is the system under discussion.
The resistance to change of motion does not depend upon direction, so it is what we call a "scalar" quantity, and has been named Mass.
What is the relationship between momentum and inertia?
We quantify Mass using units such as kg or lb-mass. Objects that require a lot of Force to accelerate a little bit have large Mass. Objects that accelerate a lot with a little bit of Force have small Mass.
Speed is also a scalar quantity, but when we combine speed with direction, we get a "vector" quantity called Velocity. Momentum has both a magnitude and a direction. We quantify the Momentum of an object as the product of the Mass scalar quantity times its Velocity vector. Momentum is also a measurable property of a sets of objects. Their individual Momenta can be added together using vector addition and be represented by a virtual object we call a Center of Mass moving with a Net Velocity.
Momentum is "conserved", which simply means that it does not change over time for any closed system unless some external force is applied. For a collection of objects, their collective Momentum does not change, even if they bang into each other and bounce apart again or clump together, or one object goes spinning off away from its neighbors.Inertia - Basic Introduction, Torque, Angular Acceleration, Newton's Second Law, Rotational Motion
These collisions, if not perfectly elastic, will reduce the Kinetic Energy of the system, especially if they clump together into a single object, but the Momentum of the clump will be the same as the net momentum of all the original individual pieces -- the Center of Mass will continue to move with the same Net Velocity. While Total Energy is conserved first law of thermodynamicsKinetic Energy can shift into other forms such as Thermal Energy or Potential Energy, so it is not conserved like Momentum.