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Which formula can be used to express the law of conservation of momentum, where [tex]p[/tex] represents momentum?

A. [tex]p_i = p_f[/tex]
B. [tex]p_i \ \textgreater \ p_f[/tex]
C. [tex]p_i \ \textless \ p_f[/tex]
D. [tex]p_i \neq p_f[/tex]

Sagot :

GinnyAnsweridn
The law of conservation of momentum states that within a closed system with no external forces acting on it, the total momentum remains constant. In other words, the momentum before an event involving several objects (such as a collision) will be equal to the momentum after the event.

Let's denote these momenta as follows:
- [tex]\( p_i \)[/tex]: Initial momentum (total momentum before the event)
- [tex]\( p_f \)[/tex]: Final momentum (total momentum after the event)

According to the law of conservation of momentum, the initial momentum [tex]\( p_i \)[/tex] should equal the final momentum [tex]\( p_f \)[/tex]. Thus, the correct formula expressing this law is:

[tex]\[ p_i = p_f \][/tex]

Therefore, among the given options:
1. [tex]\( p_i = p_f \)[/tex]
2. [tex]\( p_i > p_f \)[/tex]
3. [tex]\( p_i < p_f \)[/tex]
4. [tex]\( p_i \neq p_t \)[/tex]

The correct answer is:

[tex]\[ p_i = p_f \][/tex]
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