state Newton's second law of motion. derive its mathematical relation
Answers
Answer:
Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration a of its centre of mass, F = ma, is the basic equation of motion in classical mechanics.
Explanation:
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Newton’s second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Second Law of Motion Formula
Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v. Here we see that, the initial momentumLaw Of Motion
The final momentum
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The change in momentum can be written as
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As we know, the rate of change of momentum with respect to time is proportional to the applied force. The applied force
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Or,
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as acceleration (a) = rate of change of velocity with respect to time.
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Above is the second law of motion formula.