QuestionApril 28, 2025

Which formula can be used to express the law of conservation of momentum, where p=momentum ?

Which formula can be used to express the law of conservation of momentum, where p=momentum ?
Which formula can be used to express the law of conservation of momentum, where p=momentum ?

Solution
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Answer

A. p_{i} = p_{f} Explanation 1. Define the law of conservation of momentum The law of conservation of momentum states that the total momentum of a system remains constant if no external forces act on it. Mathematically, this is expressed as p_{i} = p_{f}, where p_{i} is the initial momentum and p_{f} is the final momentum. 2. Analyze the options Among the given options, only p_{i} = p_{f} correctly represents the law of conservation of momentum. The other options (p_{i} > p_{f}, p_{i} < p_{f}, p_{i} \neq p_{f}) contradict the principle of conservation.

Explanation

1. Define the law of conservation of momentum<br /> The law of conservation of momentum states that the total momentum of a system remains constant if no external forces act on it. Mathematically, this is expressed as $p_{i} = p_{f}$, where $p_{i}$ is the initial momentum and $p_{f}$ is the final momentum.<br /><br />2. Analyze the options<br /> Among the given options, only $p_{i} = p_{f}$ correctly represents the law of conservation of momentum. The other options ($p_{i} > p_{f}$, $p_{i} < p_{f}$, $p_{i} \neq p_{f}$) contradict the principle of conservation.
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