is the conservation of linear momentum consistent with newtons first and thrid laws

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Answer 1

Yes, the conservation of linear momentum is consistent with Newton's first and third laws of motion.

Newton's first law, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will continue moving at a constant velocity unless acted upon by an external force. This law implies that the total momentum of a system remains constant if no external forces are applied to it. In other words, the momentum of an isolated system is conserved.

Newton's third law of motion states that for every action, there is an equal and opposite reaction. When two objects interact, the forces they exert on each other are equal in magnitude and opposite in direction. This implies that the change in momentum of one object is equal and opposite to the change in momentum of the other object. Therefore, the total momentum of the system before and after the interaction remains the same.

The conservation of linear momentum is a consequence of these fundamental laws of motion. It provides a mathematical representation of the principles described by Newton's first and third laws, ensuring that momentum is conserved in interactions between objects.

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