Question

state newton's second law of motion and also explain mathematical formulation of second law of motion ​

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

It 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 the force acts. Mathematical formulation of Newton's Second Law of Motion: Let mass of an moving object be m. Let is initial velocity be u and final velocity be v.

Explanation:

Mathematical formulation of Newton’s Second Law of Motion:

Let mass of an moving object be m.

Let is initial velocity be u and final velocity be v.

We know that momentum (p) = Mass × velocity

Therefore,

Initial momentum of object = mu

And Final momentum of the object = mv

Therefore, change in momentum = mv – mu

Where k is the proportionality constant

Now, 1 unit force is defined as the force applied on an object of mass 1kg to produce the acceleration of 1m/s2.

Thus, 1 unit of force = k ×1kg ×1m/s2

⟹ k = 1

By putting the value of k=1 in equation (ii), we get:

F = ma

i.e., Force = Mass × Acceleration

The SI unit of Force

SI unit of force is Newton (N).

Since Force = Mass x Acceleration

The unit of mass = kg and The unit of acceleration = m/s2

If force, mass and acceleration is taken as 1 unit.

Therefore,

1 Newton (N) = 1kg x 1m/s2

Thus, Newton (N) = kg m/s2

Thus, one unit of force is defined as the amount that produces an acceleration of 1 m/s2 in an object of mass 1 kg.