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Given that Newton’s 2nd Law is F = ma and Newton’s 3rd Law tells us that...

Given that Newton’s 2nd Law is F = ma and Newton’s 3rd Law tells us that every action has an equal and opposite reaction; how can an object move? Please explain the important distinction between these two laws.

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The second law explains how the velocity of an object changes when it is subjected to an external force. The law defines a force to be equal to change in momentum (mass times velocity) per change in time. Newton also developed the calculus of mathematics, and the "changes" expressed in the second law are most accurately defined in differential forms. For an object with a constant mass m, the second law states that the force F is the product of an object's mass and its acceleration a:

F = m * a

For an external applied force, the change in velocity depends on the mass of the object. A force will cause a change in velocity; and likewise, a change in velocity will generate a force. The equation works both ways.

The third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal force on object A. Notice that the forces are exerted on different objects. The third law can be used to explain the generation of lift by a wing and the production of thrust by a jet engine.

Now when unbalanced force is acting on any object that object will move. When action-reaction forces are acting between two objects than the object having less mass will undergoes more change in its acceleration.

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