The rate of change of momentum of an object is proportional to
the applied unbalanced force in the direction of force. Which law of motion is it?
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The statement mentioned in the question is the Newton's second law of motion. There are three main laws of motion which were derived by Sir Isaac Newton.
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There are three main laws of motion which were derived by Sir Isaac Newton. The second law of motion is one of the most important laws of motion because it derives a mathematical relationship among the components like unbalanced force, mass of the object and acceleration.
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