Momentum Conservation
Momentum Conservation - Related Videos
09:46
Conservation of Momentum
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2023
Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA The goal of this experiment is to test the concept of the conservation of momentum. By setting up a surface with very little friction, collisions between moving objects can be studied, including their initial and final momenta. The conservation of momentum is one of the most important laws in physics. When something is conserved in physics, the...
01:16
Conservation of Momentum: Introduction
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2023
The total momentum of a system consisting of N interacting objects is constant in time or is conserved. A system must meet two requirements for its momentum to be conserved: The mass of the system must remain constant during the interaction. As the objects interact (apply forces on each other), they may transfer mass from one to another; but any mass one object gains is balanced by the loss of that mass from another. The total mass of the system of objects, therefore, must remain unchanged as...
01:09
Conservation of Angular Momentum
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2023
A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce internal...
01:30
Conservation of Momentum: Problem Solving
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2023
Solving problems using the conservation of momentum requires four basic steps: Identify a closed system, where the total mass is constant, and no net external force acts on it. Write down an expression representing the total momentum of the system before the interaction. Write down an expression representing the total momentum of the system after the interaction. Equate these two expressions to obtain the unknown quantity. Let us apply these steps to solve a problem. Suppose two carts in...
01:18
Conservation of Angular Momentum: Application
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2023
A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely spinning bicycle tire that slows over time due to torque arising from friction, or the slowing of Earth's rotation over millions of years due to frictional forces exerted on tidal deformations. However in the absence of a net external torque, the angular momentum remains conserved. The conservation of angular momentum principle requires a change...
FAQs
The conservation approach applies only when the system has no net external force. An external force can change the system’s total linear momentum, so comparing initial and final values without accounting for that force may produce an incorrect result. Researchers therefore identify whether the selected system is isolated before using momentum conservation to analyze motion.
Internal forces occur in equal and opposite pairs between objects within the system. One object can gain momentum while another loses an equivalent amount, so the total is redistributed rather than changed. This exchange allows momentum to move among interacting bodies during collisions, recoil, explosions, and particle interactions while the system total remains constant.
The principle connects the system’s conditions before and after an interaction without requiring every internal force to be measured. By comparing the total momentum at those two stages, researchers can make quantitative predictions about the resulting motion. This makes the method valuable for analyzing complex interactions whose force histories are difficult to determine directly.
First, identify the objects included in the system and determine whether no net external force acts on it. Next, calculate each object’s momentum from its mass and velocity, then combine the contributions for the initial and final states. Comparing those totals reveals how momentum is transferred and supports a prediction of the final motion.
These events are analyzed by treating the interacting objects as a system and comparing their combined momentum before and after the event. A change in one object’s motion is associated with a corresponding transfer among the others. The same accounting framework applies whether objects collide, separate explosively, or move apart through recoil.
Momentum Conservation provides a quantitative way to study motion in mechanics, engineering, and experiments. It helps investigators compare measured or specified conditions before and after an interaction, even when the intermediate forces are not known in detail. Applications include interpreting collisions, recoil, explosions, and particle interactions as changes in how momentum is distributed.