CONSERVATION OF MOMENTUM

CONSERVATION OF MOMENTUMCONSERVATION OF MOMENTUM

conservation of momentum

the principle that the total linear or angular momentum in any isolated system is constant, provided that no external force is applieda conservation law stating that the total linear momentum of a closed system remains constant through time, regardless of other possible changes within the system.a principle stating that the total linear momentum of an isolated system remains constant regardless of changes within the system.

conservationthe maintenance of a certain quantities unchanged during chemical reactions or physical transformationsmomentumis defined to be the mass of an object multiplied by the velocity of the object conservation of momentumis a fundamental concept of physics along with the conservation of energy and conservation of massThe conservation of momentum states that, within some problem domain, the amount of momentum remains constant; momentum is neither created nor destroyed, but only changed through the action of forces as described by Newton's laws of motion. Newton's second law of motion states that force F is equal to the change in momentum with respect to time.conservation of momentum The total momentum of a closed system is constant (momentum is conserved).The law of conservation of momentum is logically equivalent to Newton's third law of motion (the actionreaction law).RelatedConceptsofDynamicsIII 1st law inertia m momentum p=mv 2nd law force law F=ma impulse-momentumtheorem J=p 3rd law action-reaction F1=F2 conservation of momentum p=p0Sample problem :What is the magnitude of the total momentum of these carts?

Total momentum = m1v1 + m2v2Total mom. =(4.0 kg)(3 m/s)+6.0kg(-3.0m/s)= 12. kgm/s + -18. kgm/s= -6.0 kgm/sIn a Closed System:

When two objects interact .

....the SUM of their momenta BEFORE the interaction ...

...equals the SUM of their momenta AFTER the interaction.

m1v1 + m2v2 = m1v1 + m2v2

Summary :

An external force is required to change the momentum of a body.If no external force acts on a body, the momentum of the body will not change.Thus, momentum is conserved.Whatever the nature of a collision or explosion, total momentum before, during, and after the event remains unchanged.