Question

Derive Newtons Second Law.​

Answer 1

Answer:

In equation form, Newton's second law of motion is a=Fnetm a = F net m . This is often written in the more familiar form: Fnet = ma. The weight w of an object is defined as the force of gravity acting on an object of mass m.

Newton's second law of motion states that, "The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which force acts".

Now, momentum is the product of mass and velocity.

Thus, change in momentum is

Thus, we have

But, is the acceleration of the body

Thus,

?

k is the constant of proportionality and in SI units, its value is 1.

This is the equation of Newton's second law of motion.

Answer 2

Hello dear❤️

For a constant mass m,

Newton's second law looks like:

F = m * (V1 - V0) / (t1 - t0)

The change in velocity divided by the change in time is the definition of the acceleration a.

The second law then reduces to the more familiar product of a mass and an acceleration:

F = m * a.

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thanks ☺️❤️