Question

how can you did use first law of motion from second law of motion or derive mathematical formulation of second law of motion​

Answer 1

Answer:

Newton's Second law of motion :- The rate of change of momentum is directly proportional to the force applied on the system. 

Force applied is directly proportional to the product of mass and acceleration .

Let  be the initial and final momentums respectively.

According to newton's second law :- 

pf - pi / t ∝ F 

We know that, Momentum ( P) = mv .

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

Now, 

mv - mu / t ∝ F 

F ∝ m ( v-u) /t

F ∝ ma. 

F = kma. 

Here, K is the proportionality constant. It's value is 1 .

Units of Force are given by the units of mass and acceleration. Units of force is Kgm/s² .

In accordance to honour the contributions of Newton, 1 kgm/s² is termed as 1 Newton.

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Answer 2

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formulation of second law of motion ". Justify this stateme..

"First law of motion can be mathematically stated fron the mathematical formulation of second law of motion ". Justify this statement

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Amarnathreddy M

Derivation of Newton’s first law of motion from Newton’s second law of motion Newton's first law states that a body stays at rest if it is at rest and moves with a constant velocity if already moving, until a net force is applied to it. In other words, the state of motion of a body changes only on application of a net non-zero force. Newton's second law states that the net force applied on a body is equal to the rate of change in its momentum. Mathematically, Where, F is the net force, and p is the momentum. Now, we can write the same as: So, if the net force, F is zero, change in the value of v is be zero i.e., a body at rest will be at rest and a body moving with constant velocity will continue with the same velocity, until a net force is applied. This conclusion is similar to the Newton’s first law of motion. Thus, we can derive Newton’s first law of motion using Newton’s second law of motion.

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