Math, asked by jailan443, 7 months ago

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Derive mathematical law of Second
law of motion.​

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Answered by christythomas063
1

Answer:

Step-by-step explanation:

Newton’s Second Law of Motion. 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.

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

Law Of Motion

The change in momentum can be written as

Law Of Motion

As we know, the rate of change of momentum with respect to time is proportional to the applied force. The applied force

Law Of Motion

Or,

Law Of Motion

as acceleration (a) = rate of change of velocity with respect to time.

Law Of Motion

Above is the second law of motion formula.

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