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# Principle of conservation of momentum is deduced from(a) Newton’s first law(b) Newton’s second law(c) Newton’s third law(d) Law of inertia

Last updated date: 13th Jul 2024
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Hint: In order to solve this question, we are first going to state the principle of conservation of momentum, then, stating the law from which it is deduced and then we will represent the mathematical deduction of the principle of conservation of momentum from the law.

Formula used:
The Newton’s second law of motion is expressed as:
${F_{net}} = \dfrac{{dP}}{{dt}}$

${F_{net}} = \dfrac{{dP}}{{dt}}$
Now, if the external force is zero, i.e. ${F_{net}} = 0$
$\dfrac{{dP}}{{dt}} = 0 \\ \Rightarrow P = constant \\$
Thus, we have seen here that the law of conservation of momentum has been deduced from the equation ${F_{net}} = \dfrac{{dP}}{{dt}}$, which is exactly the Newton’s second law of motion. Hence, option (b) Newton’s second law is the correct answer.