Question

State law of conservation of linear momentum and derive the law of conservation of linear momentum using newton's second law of motion.

Answer 1

Dear student

According to the conservation of linear momentum if the external force on a system is zero then the linear momentum of the system will be conserve.
By Newton's second law of motion
$$\begin{gathered} {\overrightarrow{F}}_{ext}=\frac{d\overrightarrow{p}}{dt} \\ when{\overrightarrow{F}}_{ext}=0\Rightarrow \frac{d\overrightarrow{p}}{dt}=0 \\ \Rightarrow \overrightarrow{p}=cons\tan t \end{gathered}$$
so linear momentum will be conserve.