Which formula can be used to express the law of conservation of momentum, where [tex]$p=$[/tex] momentum?
A. [tex]$p_i=p_t$[/tex]
B. [tex]$p_1\ \textgreater \ p_2$[/tex]
C. [tex]$P_i\ \textless \ P_i$[/tex]
D. [tex]$p_i \neq p_t$[/tex]
Answer (2)
The law of conservation of momentum states that the total momentum in a closed system remains constant.
Initial momentum ( p i ) equals final momentum ( p t ).
The formula expressing this law is p i = p t .
Therefore, the answer is p i = p t .
Explanation
Understanding the Problem The problem asks us to identify the formula that correctly represents the law of conservation of momentum. The law of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act on it. This means the initial momentum is equal to the final momentum.
Applying the Law of Conservation of Momentum The law of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act on it. If we denote the initial momentum as p i and the final momentum as p t , then the law of conservation of momentum can be expressed as: p i = p t
Identifying the Correct Formula Therefore, the correct formula is p i = p t .
Examples
The law of conservation of momentum is a fundamental principle in physics. For example, when a cue ball hits another billiard ball on a frictionless surface, the total momentum of the two balls before the collision is equal to the total momentum of the two balls after the collision. This principle is crucial in understanding collisions and interactions between objects in a closed system, and it's used in fields ranging from sports to astrophysics.
The law of conservation of momentum states that the total momentum of a closed system remains constant, expressed by the equation p i = p t . This means the initial momentum equals the final momentum when no external forces act on the system. The correct choice is option A.
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