Newton's Third Law of Motion and the conservation of momentum. Newton's Third Law states that for every action, there is an equal and opposite reaction. If you push against a wall, the wall pushes back against you with the same amount of force.

Newton third law of motion is equivalent to law of conservation of linear momentum because in newton third law of motion is given are equal and opposite force..

Newton's Third Law and the Law of Conservation of Linear Momentum

Newton's third law of motion states that for every action, there is an equal and opposite reaction. This law is often summarized as "for every action force, there is an equal and opposite reaction force." It describes the relationship between the forces acting on two objects in an interaction.

Law of Conservation of Linear Momentum

The law of conservation of linear momentum states that the total linear momentum of an isolated system remains constant if no external forces act on it. Linear momentum is the product of an object's mass and its velocity. Mathematically, it can be expressed as:

p = m * v

where p is the linear momentum, m is the mass of the object, and v is its velocity.

Equivalence of Newton's Third Law and the Law of Conservation of Linear Momentum

Newton's third law and the law of conservation of linear momentum are equivalent because they describe the same physical principle from different perspectives.

When two objects interact, they exert forces on each other. According to Newton's third law, the forces exerted by the two objects on each other are equal in magnitude and opposite in direction. For example, if object A exerts a force on object B, object B exerts an equal and opposite force on object A.

These forces cause a change in the linear momentum of the objects. However, according to the law of conservation of linear momentum, the total linear momentum of the system remains constant. This means that the change in momentum of one object is balanced by the change in momentum of the other object, resulting in a net change of zero.

In other words, the forces described by Newton's third law cause an exchange of momentum between the objects, but the total amount of momentum in the system remains the same. This conservation of momentum is a consequence of Newton's third law and is expressed by the law of conservation of linear momentum.

Therefore, Newton's third law can be considered equivalent to the law of conservation of linear momentum because they both describe the same fundamental principle of action and reaction, and the preservation of momentum in an isolated system.