(a) State Newton's second law of motion.Mathematically derive Newton's second law
of motion. Also give one application of second law of motion.
Answers
Answer:
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.
THIS IS THE SECOND LAW OF NEWTON.
Explanation:
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,
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as acceleration (a) = rate of change of velocity with respect to time.
Law Of Motion
Above is the second law of motion formula.